Finding the Fourth Proportional to 9,665.11, 13,337.46 and 5,632.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.11 : 13,337.46 = 5,632.32 : x
2. Step 2: Convert to fraction form
   9,665.11/13,337.46 = 5,632.32/x
3. Step 3: Cross multiply
   9,665.11x = 13,337.46 × 5,632.32
4. Step 4: Simplify right side
   9,665.11x = 75,120,842.71
5. Step 5: Solve for x
   x = 75,120,842.71/9,665.11
6. Step 6: Final answer
   x = 7,772.37