Dice pineapple, papaya, red onion and cilantro into small chunks.
Rinse and prepare shrimp and snapper. Cut snapper and shrimp into bite-size chunks.
In large glass bowl, combine shrimp, crab, snapper and fruit mixture. Squeeze thin layer of lime juice over mixture.
Refrigerate dish for several hours, mixing every so often so flavors continue to mix and lime juice coats proteins.
Once fish and shrimp finish marinating in lime juice, transfer to serving dish.
Sprinkle with cilantro and serve with tortilla chips.