I believe what you have is Brown Rot, possibly introduced by plum curculio damage.
Here's one quick info on Brown Rot: https://postharvest.tfrec.wsu.edu/marketdiseases/brownrot.html
Does this seem like what you have?
I get them on my Enterprise apples too. Last year, the tree was extremely productive, but Brown Rot had affected many of the fruits. Once I learned to recognize the signs, I culled the ones showing early symptoms. I was able to cut out the damaged parts and make use of the green unripe~not quite ripe apples.