Finding the Fourth Proportional to 1,414.89, 1,952.55 and 825.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.89 : 1,952.55 = 825.81 : x
2. Step 2: Convert to fraction form
   1,414.89/1,952.55 = 825.81/x
3. Step 3: Cross multiply
   1,414.89x = 1,952.55 × 825.81
4. Step 4: Simplify right side
   1,414.89x = 1,612,435.32
5. Step 5: Solve for x
   x = 1,612,435.32/1,414.89
6. Step 6: Final answer
   x = 1,139.62