[1] He is a two-time Olympian (1996 and 2004), a semifinalist in the 200 m butterfly at the European Championships (2002), and a member of Kometa Brno under his head coach Ondřej Butir.

On the first day of the Games, he managed to pull off a top 16 effort in the 400 m individual medley, edging out Australia's Trent Steed to earn a fourteenth spot by almost a full second in 4:28.39.

[3] Out of his remaining tries, Horky was unable to target the same goal as his first event, finishing thirtieth in the 200 m butterfly (2:02.84), and eighteenth in the 200 m individual medley (2:05.45).

[4][5] After an eight-year absence, Horky competed only in the men's 4×200 m freestyle relay, and served as a senior captain for the Czech swimming team at the 2004 Summer Olympics in Athens.

[6][7] Teaming with Michal Rubáček, Květoslav Svoboda, and Martin Škacha in heat two, Horky swam a third leg and recorded a split of 1:53.29, but the Czechs settled only for seventh place and thirteenth overall in a final time of 7:26.26.