Finding the Fourth Proportional to 1,414.35, 1,952.06 and 825.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.35 : 1,952.06 = 825.07 : x
2. Step 2: Convert to fraction form
   1,414.35/1,952.06 = 825.07/x
3. Step 3: Cross multiply
   1,414.35x = 1,952.06 × 825.07
4. Step 4: Simplify right side
   1,414.35x = 1,610,586.14
5. Step 5: Solve for x
   x = 1,610,586.14/1,414.35
6. Step 6: Final answer
   x = 1,138.75