Finding the Fourth Proportional to 1,414.29, 1,951.70 and 825.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.29 : 1,951.70 = 825.15 : x
2. Step 2: Convert to fraction form
   1,414.29/1,951.70 = 825.15/x
3. Step 3: Cross multiply
   1,414.29x = 1,951.70 × 825.15
4. Step 4: Simplify right side
   1,414.29x = 1,610,445.26
5. Step 5: Solve for x
   x = 1,610,445.26/1,414.29
6. Step 6: Final answer
   x = 1,138.70