Finding the Fourth Proportional to 9,666.38, 13,339.38 and 5,687.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.38 : 13,339.38 = 5,687.75 : x
2. Step 2: Convert to fraction form
   9,666.38/13,339.38 = 5,687.75/x
3. Step 3: Cross multiply
   9,666.38x = 13,339.38 × 5,687.75
4. Step 4: Simplify right side
   9,666.38x = 75,870,963.46
5. Step 5: Solve for x
   x = 75,870,963.46/9,666.38
6. Step 6: Final answer
   x = 7,848.95