Finding the Fourth Proportional to 17,538.04, 24,201.57 and 9,580.15

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538.04 : 24,201.57 = 9,580.15 : x
2. Step 2: Convert to fraction form
   17,538.04/24,201.57 = 9,580.15/x
3. Step 3: Cross multiply
   17,538.04x = 24,201.57 × 9,580.15
4. Step 4: Simplify right side
   17,538.04x = 231,854,670.84
5. Step 5: Solve for x
   x = 231,854,670.84/17,538.04
6. Step 6: Final answer
   x = 13,220.10