Finding the Fourth Proportional to 1,414.72, 1,952.33 and 825.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.72 : 1,952.33 = 825.28 : x
2. Step 2: Convert to fraction form
   1,414.72/1,952.33 = 825.28/x
3. Step 3: Cross multiply
   1,414.72x = 1,952.33 × 825.28
4. Step 4: Simplify right side
   1,414.72x = 1,611,218.90
5. Step 5: Solve for x
   x = 1,611,218.90/1,414.72
6. Step 6: Final answer
   x = 1,138.90