Finding the Fourth Proportional to 1,414.38, 1,951.85 and 825.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.38 : 1,951.85 = 825.24 : x
2. Step 2: Convert to fraction form
   1,414.38/1,951.85 = 825.24/x
3. Step 3: Cross multiply
   1,414.38x = 1,951.85 × 825.24
4. Step 4: Simplify right side
   1,414.38x = 1,610,744.69
5. Step 5: Solve for x
   x = 1,610,744.69/1,414.38
6. Step 6: Final answer
   x = 1,138.83