Finding the Fourth Proportional to 10,942.50, 15,082.50 and 7,751.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,942.50 : 15,082.50 = 7,751.71 : x
2. Step 2: Convert to fraction form
   10,942.50/15,082.50 = 7,751.71/x
3. Step 3: Cross multiply
   10,942.50x = 15,082.50 × 7,751.71
4. Step 4: Simplify right side
   10,942.50x = 116,915,106.17
5. Step 5: Solve for x
   x = 116,915,106.17/10,942.50
6. Step 6: Final answer
   x = 10,684.50