Finding the Fourth Proportional to 1,414.46, 1,952.03 and 825.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.46 : 1,952.03 = 825.05 : x
2. Step 2: Convert to fraction form
   1,414.46/1,952.03 = 825.05/x
3. Step 3: Cross multiply
   1,414.46x = 1,952.03 × 825.05
4. Step 4: Simplify right side
   1,414.46x = 1,610,529.29
5. Step 5: Solve for x
   x = 1,610,529.29/1,414.46
6. Step 6: Final answer
   x = 1,138.62