Although Leonardo da Vinci's 'Vitruvian Man' is surmised to illustrate the Golden ratio, I have not seen many progressions (except my own note on my book in 2002 – see also the symbol plate at ringiovanisci.info); for some seekers it looks not to have been intended to do that, neither the golden proportion is mentioned in the original script.
But let's get to it.First of all, to resize the square to a real square and normalize the circumference, the whole drawing had to be remodeled in a few steps: referring the square to the left upper corner, then the circle to the feet.
Tap the lighter area of the next plate to check how the man's figure has changed; it may be relevant for such research. Click to view/download the wide size PDF for the Da Vinci Vitruvian linear Golden Sections 19-20Mb). Truly, the man's natural proportions in this drawing, by which Vitruvio brings the ideal man (microcosm) back to the geometry of the circumference – the spiritual Source symbol – and of the square – the Matter – (and not the masculine-feminine, that has nothing to do) do help us, both through the square and the circle.
To ease an immediate interpretation of my assumptions, given the hand made drawing of the subject, I will replace numerical details with the more intuitive, not less efficient graphics tracks, that can be moved and resized to be recycled in order to replay true graphic proportions.