How can I determine the inductance of transformer winding given a specific power parameter?
There is no way from those figures to calculate any accurate estimate. The inductance of a transformer can range over one, or possibly even two orders of magnitude, and you still end up with a viable transformer.

However, you could make some assumptions to put some bounds on what it could be.

It's a fair assumption that the magnetising current will be somewhere between 0.1% (for an instrument grade high mu toroidal core) and 30% (for a fan-blown designed-down-to-minimum-cost operates-at-full-load-only microwave oven transformer) of the rated load current, with the few percent region being reasonable for middling transformers.

So if we guess at 100mA magnetising current with respect to our 4.3A rated 230v winding, the impedance is 2300johms, which at 50Hz is 2300/2pif = 7H, give or take a factor of 3, or 10.

Of course if you actually measure the magnetising current, you don't need such loose assumptions.