Finding the Fourth Proportional to 9,665.46, 13,337.28 and 5,687.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.46 : 13,337.28 = 5,687.55 : x
2. Step 2: Convert to fraction form
   9,665.46/13,337.28 = 5,687.55/x
3. Step 3: Cross multiply
   9,665.46x = 13,337.28 × 5,687.55
4. Step 4: Simplify right side
   9,665.46x = 75,856,446.86
5. Step 5: Solve for x
   x = 75,856,446.86/9,665.46
6. Step 6: Final answer
   x = 7,848.20