Finding the Fourth Proportional to 17,538.10, 24,202.27 and 9,580.12

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538.10 : 24,202.27 = 9,580.12 : x
2. Step 2: Convert to fraction form
   17,538.10/24,202.27 = 9,580.12/x
3. Step 3: Cross multiply
   17,538.10x = 24,202.27 × 9,580.12
4. Step 4: Simplify right side
   17,538.10x = 231,860,481.96
5. Step 5: Solve for x
   x = 231,860,481.96/17,538.10
6. Step 6: Final answer
   x = 13,220.39