Finding the Fourth Proportional to 1,414.92, 1,952.52 and 825.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.92 : 1,952.52 = 825.48 : x
2. Step 2: Convert to fraction form
   1,414.92/1,952.52 = 825.48/x
3. Step 3: Cross multiply
   1,414.92x = 1,952.52 × 825.48
4. Step 4: Simplify right side
   1,414.92x = 1,611,766.21
5. Step 5: Solve for x
   x = 1,611,766.21/1,414.92
6. Step 6: Final answer
   x = 1,139.12