Finding the Fourth Proportional to 1,414.62, 1,951.77 and 825.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.62 : 1,951.77 = 825.04 : x
2. Step 2: Convert to fraction form
   1,414.62/1,951.77 = 825.04/x
3. Step 3: Cross multiply
   1,414.62x = 1,951.77 × 825.04
4. Step 4: Simplify right side
   1,414.62x = 1,610,288.32
5. Step 5: Solve for x
   x = 1,610,288.32/1,414.62
6. Step 6: Final answer
   x = 1,138.32