Where does “доспѣти” come from?

доспѣти (Old East Slavic) comes from Proto-Slavic spěti, from Proto-Balto-Slavic spḗˀtei, from Proto-Indo-European spéh₁-, from Proto-Indo-European speh₁- — to succeed, to prosper.

Ancestry of “доспѣти”, step by step

StepLanguageWordMeaning
1Proto-Slavicspětito advance, ripen, hurry
2Proto-Balto-Slavicspḗˀteito be able to manage
3Proto-Indo-Europeanspéh₁-to succeed, to prosper
4Proto-Indo-Europeanspeh₁-to succeed, to prosper
Every word from Proto-Indo-European speh₁- →Every word from Proto-Indo-European spéh₁- →Every word from Proto-Balto-Slavic spḗˀtei →