fourdoras,
Welcome to the forums.
You've received good info above. The only thing I'd ammend is this. Several said you have to have your fridge on propane while you travel, and generally that's true. However, if you had your generator running to run the coach A/C while travelling, you DON'T have to have the fridge on propane. It will get it's power from the generator.
A refrigerator will keep the contents cold a long time on its own without power. However, every time the door is opened, you let in warm air which must then be cooled. Which reminds me, you should check the seal around your fridge door as well. It's possible the seal is failing and allowing warm air in more quickly than it should. Here's a link describing the process to
Check the Seals On Your Refrigerator & Oven.
Good Luck,
~Rick