Finding the Fourth Proportional to 9,665.66, 13,338.32 and 5,687.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.66 : 13,338.32 = 5,687.00 : x
2. Step 2: Convert to fraction form
   9,665.66/13,338.32 = 5,687.00/x
3. Step 3: Cross multiply
   9,665.66x = 13,338.32 × 5,687.00
4. Step 4: Simplify right side
   9,665.66x = 75,854,930.71
5. Step 5: Solve for x
   x = 75,854,930.71/9,665.66
6. Step 6: Final answer
   x = 7,847.88