Grammy-winning hit of his has been a go-to song choice. “ ‘How Am I Supposed to Live Without You’ has been [performed by] so many different artists going into their last round … So I think I would have fared pretty well on those shows.” Now, in fact, Bolton is crooning in competition on NBC’s “American Song Contest,” and he will be performing his original tune “Beautiful World” on this Monday’s semifinals (8 p.m.) Based on the long-running European juggernaut “Eurovision,” the show — which, hosted by Kelly Clarkson and Snoop Dogg, premiered in March— has pit representatives from all 50 states, five US territories and Washington, DC for the title of Best Original Song.