mighti (Middle English) comes from Old English mihtiġ, from Proto-West Germanic mahtīg, from Proto-Germanic mahtīgaz, from Proto-Germanic mahtiz, from Proto-Germanic mahtuz, from Proto-Indo-European mógʰtis, from Proto-Indo-European meǵʰ- — to be able.
Ancestry of “mighti”, step by step
mighti traces back through 3 separate lines of ancestry.