Finding the Fourth Proportional to 1,414.74, 1,952.31 and 825.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.74 : 1,952.31 = 825.27 : x
2. Step 2: Convert to fraction form
   1,414.74/1,952.31 = 825.27/x
3. Step 3: Cross multiply
   1,414.74x = 1,952.31 × 825.27
4. Step 4: Simplify right side
   1,414.74x = 1,611,182.87
5. Step 5: Solve for x
   x = 1,611,182.87/1,414.74
6. Step 6: Final answer
   x = 1,138.85