That's the thing about having new cutting edge tech constantly moving forward... sometimes your old tech gets broken with the new stuff. That was the case with the new Android port of Instagram. It wouldn't work with the new HTC One X. For whatever reason, some slight hardware or software difference kept the app from working properly with the new flagship phone from HTC. However, notice I said, that "was" the case? The folks at Instagram have been working constantly since the app was released last week, and have created several new updates already. They are up to version 1.0.4 already, which now supports the HTC One X.
Source: HTCOneForum.com via Google Play Store - Instagram