Finding the Fourth Proportional to 1,240.27, 1,711.06 and 820.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,240.27 : 1,711.06 = 820.82 : x
2. Step 2: Convert to fraction form
   1,240.27/1,711.06 = 820.82/x
3. Step 3: Cross multiply
   1,240.27x = 1,711.06 × 820.82
4. Step 4: Simplify right side
   1,240.27x = 1,404,472.27
5. Step 5: Solve for x
   x = 1,404,472.27/1,240.27
6. Step 6: Final answer
   x = 1,132.39