Finding the Fourth Proportional to 9,689.69, 13,375.83 and 8,205.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689.69 : 13,375.83 = 8,205.29 : x
2. Step 2: Convert to fraction form
   9,689.69/13,375.83 = 8,205.29/x
3. Step 3: Cross multiply
   9,689.69x = 13,375.83 × 8,205.29
4. Step 4: Simplify right side
   9,689.69x = 109,752,456.24
5. Step 5: Solve for x
   x = 109,752,456.24/9,689.69
6. Step 6: Final answer
   x = 11,326.73