I posted the question after I had heard from my friend Bryan Blake, who just finished 12th at the world F Class shooting championships. Their targets were 900 meters (984 yards) away with a 10" ring that scored 5 points with a 5" V ring. Each competitor fired 130 shots with 2 sighters.
The winner put 86.9 percent of his shots into the 10" ring. The second place finisher put 80.7 percent. One of my assumptions here is any dropped points landed in the "4" ring, which Bryan said was true of the winner.
The winds were strong during this competition, but they shoot quickly and get immediate wind feedback from their last shot, to say nothing of the two sighters. The rests they use cost more than many rifles and the rifles themselves are insanely accurate - I had Bryan build me a 28N after I watched him put 20 shots into a 1.9" group at 500 yards. Bryan has since rebarreled an Edge to 28N and just yesterday I picked a new tube on one of my Lapuas.
Yes, the subject is beyond 1000 yards, but if putting 90% of your shots in a 10" circle at 1000 yards is impossible, not sure what those numbers look like at 1200 or 1400 (wait, I do know - I shoot at those ranges all the time).
One poster mentioned 400 yards and his success at that range even in very strong winds. Colorado spring winds are insane - last month I shot quite a bit with winds over 20 gusting to 50 (I didn't shoot in the gusts). I was very surprised I could hit my 10x12 gong every time at 400 yards - 620 wasn't bad either, but beyond that, forget it. I am guessing wind speeds are normally distributed, which means the stronger they are, the more they can vary over short periods of time. As Bryan pointed out yesterday, the flight time of a bullet to 1000 yards is over one second, and even a perfect wind call is likely to change during your TOF. I video every shot I take in CO - those bullets hit the 400 yard target almost instantly but the time between the rifle report and the bullet hitting metal 1000 yards away is very noticeable.
I have said this before, and someone else mentioned WEZ models, but simple math (like calculating the allowable wind error given your 1/2 MOA rifle can only drift 2.5" at either side of the group before you stand a chance of missing) shows the difficulty of connecting on small targets at long ranges. At some point, it is too far, and that hit has a healthy dose of luck.