The auction is as follows by east west with NS silent throughout.
1C 16+ artificial
1D 0-7 artificial or impossible negative showing any 4441 8+
1H either hearts and a second suit or 20+ balanced, asks partner to bid 1s as relay
1S forced as a relay unless a very weak distriutional hand
4h described as a good hand with lots of hearts that may have gone through the relay in case the 1d bidder had the impossible negative or one of the weak distributional hands.
Do you double 4H? I'll admit that at the table I didn't give it serious thought.
This is the third round in a 7 round swiss team. You are doing well and playing against a quality team.
jmc