Finding the Fourth Proportional to 12,710.50, 17,540.49 and 7,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,710.50 : 17,540.49 = 7,742.50 : x
2. Step 2: Convert to fraction form
   12,710.50/17,540.49 = 7,742.50/x
3. Step 3: Cross multiply
   12,710.50x = 17,540.49 × 7,742.50
4. Step 4: Simplify right side
   12,710.50x = 135,807,243.83
5. Step 5: Solve for x
   x = 135,807,243.83/12,710.50
6. Step 6: Final answer
   x = 10,684.65