A couple of weeks after round 3 (officially the final round of bidding - deadline 28 April), the bidders still had not received any feedback, but the Qataris were presumably hearing the same things as the media (ie that Ineos were significantly ahead and were probably about to be granted exclusivity) and therefore Qatar contacted the Glazers directly (bypassing Raine) to put in a new bid outside the formal bidding process that eclipsed their third round bid. That was on Monday 15 May.
Precise figures are hard to come by, but reports have indicated that the additional bid that the Qataris submitted directly to the Glazers, still falls short the bid that Ineos submitted in the third round of the formal bidding process.
A further two weeks have gone by and nobody has really heard anything - we do know that United's board of directors met on Thursday last week to discuss the ongoing process, but no resolution was achieved. It has again been reported that Ineos are still ahead (one assumes that the Qataris have one last chance to at least match the Ineos third round bid, but if they fail or if no '5th round' Qatari bid is forthcoming, I'd guess we'll hear shortly after the cup final that Ineos have won and Avram & Joel are staying on in minority roles - no more matches until August will minimise the potential for disruptive protests).