Finding the Fourth Proportional to 17,538.56, 24,202.81 and 9,580.82

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538.56 : 24,202.81 = 9,580.82 : x
2. Step 2: Convert to fraction form
   17,538.56/24,202.81 = 9,580.82/x
3. Step 3: Cross multiply
   17,538.56x = 24,202.81 × 9,580.82
4. Step 4: Simplify right side
   17,538.56x = 231,882,766.10
5. Step 5: Solve for x
   x = 231,882,766.10/17,538.56
6. Step 6: Final answer
   x = 13,221.31