Finding the Fourth Proportional to 9,520.96, 13,138.68 and 5,542.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,520.96 : 13,138.68 = 5,542.78 : x
2. Step 2: Convert to fraction form
   9,520.96/13,138.68 = 5,542.78/x
3. Step 3: Cross multiply
   9,520.96x = 13,138.68 × 5,542.78
4. Step 4: Simplify right side
   9,520.96x = 72,824,812.73
5. Step 5: Solve for x
   x = 72,824,812.73/9,520.96
6. Step 6: Final answer
   x = 7,648.89