Finding the Fourth Proportional to 9,442.30, 13,031.10 and 5,665.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,442.30 : 13,031.10 = 5,665.62 : x
2. Step 2: Convert to fraction form
   9,442.30/13,031.10 = 5,665.62/x
3. Step 3: Cross multiply
   9,442.30x = 13,031.10 × 5,665.62
4. Step 4: Simplify right side
   9,442.30x = 73,829,260.78
5. Step 5: Solve for x
   x = 73,829,260.78/9,442.30
6. Step 6: Final answer
   x = 7,818.99