Finding the Fourth Proportional to 1,414.80, 1,952.28 and 825.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.80 : 1,952.28 = 825.24 : x
2. Step 2: Convert to fraction form
   1,414.80/1,952.28 = 825.24/x
3. Step 3: Cross multiply
   1,414.80x = 1,952.28 × 825.24
4. Step 4: Simplify right side
   1,414.80x = 1,611,099.55
5. Step 5: Solve for x
   x = 1,611,099.55/1,414.80
6. Step 6: Final answer
   x = 1,138.75