Polaris's Birth
Before Polaris's birth can be fully understood, it is necesary to determine what type of star it is. I have found two differing opinions as to what it is; one states that it is a binary star, while the other states that it is actually a collection of three stars, the primary of which is a Cepheid variable. Since these are not necesarily mutually exclusive, I will assume both to be true.
I have been unable, despite a great deal of searching, to find much information about the details of Cepheid variable formation, but what little I have found seems to indicate that a star becomes a Cepheid variable at the end of its life; the only prerequisites on the star are that it be roughly 3 to 9 solar masses. So the formation of Polaris was, most likely, much like the formation of any other star of just-over-solar mass. I will arbitrarily estimate that Polaris is a 4 solar mass star for the purpose of this project.
But Polaris was not immediately a stable star. Before it could stabilize, it obviously had to stop collapsing. The specific amount of time that this took for Polaris is not available, simply because we were not there to watch it stabilize, but eventually the outward forces of the thermonuclear reaction at the center of the star did provide a precise counterbalance to gravity, bringing the star into the main sequence, the region around which it was, and is, to spend most of its life.