Finding the Fourth Proportional to 2,469.31, 3,702.71 and 825.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,469.31 : 3,702.71 = 825.28 : x
2. Step 2: Convert to fraction form
   2,469.31/3,702.71 = 825.28/x
3. Step 3: Cross multiply
   2,469.31x = 3,702.71 × 825.28
4. Step 4: Simplify right side
   2,469.31x = 3,055,765.32
5. Step 5: Solve for x
   x = 3,055,765.32/2,469.31
6. Step 6: Final answer
   x = 1,237.50