Where does “kilowatt” come from?

I need to work through this chain carefully. The chain given is: English watt | Ancient Greek χίλιοι | Ancient Greek χίλιοι | Proto-Indo-European ǵʰes- | Proto-Indo-European sem- | Proto-Indo-European sem- This appears problematic. "Kilowatt" would derive from "kilo-" + "watt". The "kilo-" prefix comes from Greek χίλιοι (khílioi, meaning "thousand"). But "watt" is a unit named after James Watt and doesn't fit this PIE chain. The chain seems to trace χίλιοι back through PIE roots, but the connection between the PIE roots (ǵʰes- and sem-) and χίλιοι is unclear from what's provided. The chain also repeats χίλ

kilowatt (English): One thousand watts