The story
- Proto-Indo-European*weyh₁-?
- Proto-Indo-European*wiHrós
- Proto-Italic*wiros
- Latinvir
- Latinvirtūs
- Proto-Indo-European*h₃ed-
- Proto-Indo-European*h₃édosder.?
- Late Latinvirtuōsu
- Italianvirtuoso
- Englishvirtuoso
- English todayvirtuosity
From virtuoso + -ity (“quality of”); the terminal -o drops out. Compare Middle English vertuosite (“virtuous quality or character”).
Etymology from Wiktionary, CC BY-SA 4.0.