Finding the Fourth Proportional to 9,785.71, 13,510.50 and 7,543.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,785.71 : 13,510.50 = 7,543.43 : x
2. Step 2: Convert to fraction form
   9,785.71/13,510.50 = 7,543.43/x
3. Step 3: Cross multiply
   9,785.71x = 13,510.50 × 7,543.43
4. Step 4: Simplify right side
   9,785.71x = 101,915,465.84
5. Step 5: Solve for x
   x = 101,915,465.84/9,785.71
6. Step 6: Final answer
   x = 10,414.72