A biologist was sitting near a pond and noticed a large number of dragonflies. He also saw both frogs and fish trying to eat the dragonflies. He counted a total of $89$ fish, frogs, and dragonflies. He noticed that there were four times as many dragonflies as fish and that the frogs were five more than twice the number of fish.
Use the 5-D Process to determine how many fish, frogs, and dragonflies the biologist counted.