Finding the Fourth Proportional to 9,665.39, 13,340.13 and 5,689.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665.39 : 13,340.13 = 5,689.91 : x
2. Step 2: Convert to fraction form
   9,665.39/13,340.13 = 5,689.91/x
3. Step 3: Cross multiply
   9,665.39x = 13,340.13 × 5,689.91
4. Step 4: Simplify right side
   9,665.39x = 75,904,139.09
5. Step 5: Solve for x
   x = 75,904,139.09/9,665.39
6. Step 6: Final answer
   x = 7,853.19