Am I Calculating This Correctly?? Silverado 1500

Okay, I walked away from the Salem Cruise Light that we were going to buy. The weight was too much. Thank you to whomever suggested the Keystone 2400BH. That seems to be a better fit at 4,700 lbs. The truck officially weighs 5,035lbs with no passengers. Passengers weight approximately 550 lbs. The tongue weight is approximately 600 lbs. Add roughly 800 lbs of gear and we are still under 12,000 lbs.

Does anybody see a problem with a 4,700 lb camper with a Silverado?

Thanks!

Steve