Finding the Fourth Proportional to 9,666, 13,337.06 and 5,687.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 13,337.06 = 5,687.55 : x
2. Step 2: Convert to fraction form
   9,666/13,337.06 = 5,687.55/x
3. Step 3: Cross multiply
   9,666x = 13,337.06 × 5,687.55
4. Step 4: Simplify right side
   9,666x = 75,855,167.17
5. Step 5: Solve for x
   x = 75,855,167.17/9,666
6. Step 6: Final answer
   x = 7,847.63