Monsieur Benjamin Gineste (France) has successfully shot a target at 4150 meters, or 4540 yards.
He used a .408 CheyTac caliber rifle, with a scope mounted in an extreme 270 MOA inclination.
From what I can understand from the french press release he fired 12 rounds and had 3 hits.
The rifle seems to be a custom build, with lawton action and Lothar Walther barrel built by Bruno Put, the owner of Armeca (France). They have some really nice long range rifles on their homepage, make sure you check them out.
The size of the target is most likely a 60 cm black circle, with a width of 128 cm and a height of 190 cm.
Not long ago, TFB reported about Finnaccuracy‘s record shot(s) at 4380 yards with a SAKO TRG M-10, chambered in .375 CheyTac.
http://www.thefirearmblog.com/blog/2016 ... 540-yards/