One thing to remember, is that rock does not build up in stacks, except in specific climate conditions (Coastal stacks, desert mountains {he would be huge :P}) So, it is either a stack of rocks or an artificial pile - I'd go with stack of rocks, as that is easier - I've given an example of what I mean here. Now that we are decided it is either a stack or artificial, this makes the structure weaker - let's apply some Physics. The dragon is perched on the top of the rock, out over the curve. The Centre of Mass is the exact centre of the weight in any object -if you can find this point you can balance it perfectly.
On either side if this point is the base of the object, which may sometimes extend beyond the physical base of the object, providing there is a point higher up to balance it out. As the dragon climbs up the rock, it creates a "Moment", which is kind of like an action, or movement. The Line of Action of the weight is the force created by the movement applied to the base structure, i.e, the rock.
If the line of action of the weight is inside the base, then all is good. But if the line is outside, then the Moment becomes too strong and the base moves - the rock topples over.
To rectify this, you merely need to even out the stack slightly, or apply a balancing force such as a supporting stack, or something similar. It's a nice drawing so far though, I like it
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