Finding the Fourth Proportional to 9,685.71, 13,367.88 and 5,496.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,685.71 : 13,367.88 = 5,496.39 : x
2. Step 2: Convert to fraction form
   9,685.71/13,367.88 = 5,496.39/x
3. Step 3: Cross multiply
   9,685.71x = 13,367.88 × 5,496.39
4. Step 4: Simplify right side
   9,685.71x = 73,475,081.95
5. Step 5: Solve for x
   x = 73,475,081.95/9,685.71
6. Step 6: Final answer
   x = 7,585.93