sarkıtmak (Turkish) comes from Old Turkic ıt, from Proto-Turkic ɨt, from Proto-Balto-Slavic eitei, from Proto-Indo-European h₁éyti, from Proto-Indo-European h₁ey- — to go.
Ancestry of “sarkıtmak”, step by step
sarkıtmak traces back through two separate lines of ancestry.