Salaam,
Well first of all good luck in finding the right 'lucky' girl.
Personally, from my limited knowledge, there is no real prescribed or special method. Proposal is basically an agreement between the parents of the boy and the girl and more importantly an agreement the between the boy and the girl.
The Prophet Muhammad may Allah Ta'allah be pleased with him did not have parents but Khadijah (RA) proposed directly to him through a 'mediator'. If your 'lucky' girl does not have parents or a guardian, you can go ahead and ask her for her hand in person. If you are too shy, (which I doubt for having asked such a question in the first place... lol... no offence), then by all means you can get someone else to ask her for you or ask a close friend of hers.
Hope it helps... :s
Keep fishing and good luck with it. The pond will be shallow one day.
Wasalaam.