Finding the Fourth Proportional to 9,132.50, 13,697.72 and 2,559.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,132.50 : 13,697.72 = 2,559.20 : x
2. Step 2: Convert to fraction form
   9,132.50/13,697.72 = 2,559.20/x
3. Step 3: Cross multiply
   9,132.50x = 13,697.72 × 2,559.20
4. Step 4: Simplify right side
   9,132.50x = 35,055,123.74
5. Step 5: Solve for x
   x = 35,055,123.74/9,132.50
6. Step 6: Final answer
   x = 3,838.50