yewnen,
You're right, you are lost!
You are not considering electrical quantities such as current (therefore power), which are more important then voltage in your situation. There is no way that you can power a 240Vac 13A load with a few little solar cells, it is impossible. Let's do a rough estimate here.. You are asking for 3120W of raw power at your load. Your inverting process isn't perfect either, so you are looking at probably 4000W of solar power including resistive losses. For example.. I found a 120W panel that is 56" X 26" that costs 732$.. You need around 33 of them, which equates to nearly 25000$ of solar panels and 4000 square feet of panelling..
If your average current was half, then you need about half of the solar panels, but you need a battery backup that will hold the charge until it is ready to be used. I hope that you find another solution to your problem..
Steve