Here are a few videos on Chivito Recipes that I think you will enjoy.
A chivito al plato would usually have the following ingredients: a 1/4 inch steak (such as a filet mignon), 2 or 3 slices of bacon, an egg, ham, mozzarella cheese, tomato, onion, lettuce, fried potatoes and/or potatoes with carrots and green beans salad, mayonaisse, and salt.
How to prepare a chivito al plato: Fry the bacon and a few slices of onion. Then, in the same pan and with the bacon grease, cook the steak, adding a bit of salt when is half way done and then also adding the ham and mozzarella cheese on top of it. The mozzarella cheese should melt. Then fry the egg, use a clean pan if necessary.
Then cut the tomato in slices and start preparing the dish in the following way: Start by putting the steak with ham and mozzarella on the dish, then add the bacon, tomato, fried egg, and onion on top of it (the order can vary). Add some more tomato and the lettuce to a side along with the fries and potatoes salad. It can be done only with fries or only with tomatoes as well.
Sometimes chivitos al plato are more basic and only have meat, mozzarella, egg, ham and bacon.