Finding the Fourth Proportional to 1,414.81, 1,952.33 and 825.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.81 : 1,952.33 = 825.27 : x
2. Step 2: Convert to fraction form
   1,414.81/1,952.33 = 825.27/x
3. Step 3: Cross multiply
   1,414.81x = 1,952.33 × 825.27
4. Step 4: Simplify right side
   1,414.81x = 1,611,199.38
5. Step 5: Solve for x
   x = 1,611,199.38/1,414.81
6. Step 6: Final answer
   x = 1,138.81