Finding the Fourth Proportional to 2,472.57, 3,709.17 and 829.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,472.57 : 3,709.17 = 829.31 : x
2. Step 2: Convert to fraction form
   2,472.57/3,709.17 = 829.31/x
3. Step 3: Cross multiply
   2,472.57x = 3,709.17 × 829.31
4. Step 4: Simplify right side
   2,472.57x = 3,076,033.23
5. Step 5: Solve for x
   x = 3,076,033.23/2,472.57
6. Step 6: Final answer
   x = 1,244.06