When it comes to a rolling boil, whisk in the jello, pudding, and tapioca mixes. Make sure each box is completely dissolved before adding the next.
Boil for one full minute, then remove from the heat and cool.
In a 3-quart mixing bowl, combine the pineapple and oranges. (Drain them first! I forgot to, and my pudding is more like a thick milkshake. It still tastes great, but its consistency is all wrong.)