Mix lime and orange juices in a bowl.

Dice pineapple into 1/4- to 1/2-inch pieces.

Dice jicama into 1/4- to 1/2-inch pieces.

Dice mango into 1/4- to 1/2-inch pieces.

In each of 4 tall glasses, layer 1/4 cup diced pineapple, 1/4 cup diced jicama, and 1/4 cup diced mango.

In a bowl, combine the remaining pineapple, jicama, and mango.

Spoon the remaining fruit mixture equally into each glass.

Pour the lime-orange juice mixture equally into each glass.

Top each serving with hot sauce and chili powder to taste.

Sprinkle each serving with 1 tablespoon of crumbled cotija or feta cheese.