Finding the Fourth Proportional to 9,517.12, 13,132.59 and 5,538.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,517.12 : 13,132.59 = 5,538.40 : x
2. Step 2: Convert to fraction form
   9,517.12/13,132.59 = 5,538.40/x
3. Step 3: Cross multiply
   9,517.12x = 13,132.59 × 5,538.40
4. Step 4: Simplify right side
   9,517.12x = 72,733,536.46
5. Step 5: Solve for x
   x = 72,733,536.46/9,517.12
6. Step 6: Final answer
   x = 7,642.39