Finding the Fourth Proportional to 9,792, 13,512.72 and 5,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792 : 13,512.72 = 5,542.50 : x
2. Step 2: Convert to fraction form
   9,792/13,512.72 = 5,542.50/x
3. Step 3: Cross multiply
   9,792x = 13,512.72 × 5,542.50
4. Step 4: Simplify right side
   9,792x = 74,894,250.60
5. Step 5: Solve for x
   x = 74,894,250.60/9,792
6. Step 6: Final answer
   x = 7,648.51