If we say dilation, we mean to say that the endpoints or the corners of the polygon is move by the number of scale factors away from the original point. Unfortunately, you missed to give here an illustration of both quadrilaterals, it would have been easy for us to answer this item should we have been given with the dimensions.
You have to use a ratio so in order to answer the question find out how many times 100 goes into 7,764 which is 77.64 and then multiply 77.64 by 6 which is your answer 465.64