Finding the Fourth Proportional to 17,666.47, 24,380.31 and 9,709.30

Step by Step Solution

1. Step 1: Write the proportion equation
   17,666.47 : 24,380.31 = 9,709.30 : x
2. Step 2: Convert to fraction form
   17,666.47/24,380.31 = 9,709.30/x
3. Step 3: Cross multiply
   17,666.47x = 24,380.31 × 9,709.30
4. Step 4: Simplify right side
   17,666.47x = 236,715,743.88
5. Step 5: Solve for x
   x = 236,715,743.88/17,666.47
6. Step 6: Final answer
   x = 13,399.15