Finding the Fourth Proportional to 9,442.53, 13,031.40 and 5,665.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,442.53 : 13,031.40 = 5,665.86 : x
2. Step 2: Convert to fraction form
   9,442.53/13,031.40 = 5,665.86/x
3. Step 3: Cross multiply
   9,442.53x = 13,031.40 × 5,665.86
4. Step 4: Simplify right side
   9,442.53x = 73,834,088.00
5. Step 5: Solve for x
   x = 73,834,088.00/9,442.53
6. Step 6: Final answer
   x = 7,819.31