Finding the Fourth Proportional to 9,665.16, 13,337.62 and 5,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.16 : 13,337.62 = 5,686.50 : x
2. Step 2: Convert to fraction form
   9,665.16/13,337.62 = 5,686.50/x
3. Step 3: Cross multiply
   9,665.16x = 13,337.62 × 5,686.50
4. Step 4: Simplify right side
   9,665.16x = 75,844,376.13
5. Step 5: Solve for x
   x = 75,844,376.13/9,665.16
6. Step 6: Final answer
   x = 7,847.19