4F???? Yikes!!!
3F would be appropriate for that bore size, but not 4F.
The general rule of thumb is as follows:
4F is never used as a main charge, but is used only as a priming powder in the pan of a flint lock.
3F is acceptable in everything under 50 caliber, primarily used in pistols
2F is used in 50 caliber and up, primarily in rifles
1F is used in muskets and shotguns
A few years back I had the opportunity to spend an afternoon shooting a prototype .22 muzzleloader. It was an inline, and used standard #11 caps. Projectile was an unpatched .22 caliber lead pellet for an air rifle. It was a blast to shoot!! Even at its small size, it used 3F powder, not 4F.