Hi. I have been enjoying playing various types of latin music for at least 40 years -- on various instruments, lately my PSR9000 -- and I am not of a latin heritage. One of the problems with "dance" latin music (of all types, but basically the salsa leaning/danzon music and related "faster" songs) is the almost necessary "montuno" sounds that are usually woven into the song, either in rhythm/background or even in the solos. And you better learn how to do reasonably good flute solos and brass work! And sometimes strings counterpoint! And as MDORANTES correctly noted -- there are many latin heritages, and the music is just as diverse.
I found over the years that I did better working first with "latin jazz" music, which let me merge my my greater familiarity and skill with jazz/pop tunes with coversions to latin beats. For more directly latin examples, listen to pianist Eddie Palmieri's work -- especially when gigging with others like Cal Tjader. Then listen to all of Tjader's work. There are others younger and still playing. Many others. Try Poncho Sanchez as a starter -- albums are crossover and full of good, solid stuff. One recent CD I like with a NYC orientation is the "Harlem Spanish Orchestra" with Ruben Blades. Very nice vocal and band renditions of various danceable/music hall tunes.
In addition to stars Ricky, Marc Antony and some others of the "new breed" mentioned -- there are vocalists like Tito Nieves who sing almost anything rather well, have a hot backing and are interesting in style and delivery. And who duet with other good latin voices, like La India (whom I like in small doses).
It is almost really worthwhile to go back to the 50s and start coming forward slowly to now, listening to both the "pure" latin artists (Tito Puente, Machito, many others both instrumental and vocal) and crossover artists and their work over the years. Pay close attention to the music from Puerto Rico and from Cuba. And don't forget the Brasilian music -- not just bossa nova emanates from that great country's artists. Traditional Mexican music (marachi, vera cruz) is more closely aligned to that country's traditional instruments and historical rhythms, but of course there are wildly popular "modern" groups from there as well.
There are available numerous styles for various PSR models online including some pretty good latin "starter" styles for the "typical" rhythms -- that can be experimented with and modded for slightly different types of latin music. If you have trouble finding more than the currently pop Tyros and 3000 styles, let me know and I'll help you find others. Some may not be readily available online these days.
Finally -- there are some fairly useful fake and technique books available that will help. Rebecca Mauleon has a decent beginner's intro to latin piano styles and techniques. SHER music publishing has this and others. You can search for more -- there is more.