If we have identify a point in time, that is.
The real world isn't Civ man. What do you mean exactly by technology? And by "West" vs "East"? Unless you define your terminology, you won't get a serious answer.
Ian Morris, an archeologist and author of Why the West Rules, For Now, defines the West as all civilizations descended from the domestication of wheat near what is now Syria. That includes the Muslim world. The East would then be those civilizations descended from cultivation around the Yellow River. According to his index of development, not technology per se and why you need to be more specific, the West passed the East in the 18th century.