Finding the Fourth Proportional to 1,414.81, 1,952.63 and 825.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.81 : 1,952.63 = 825.37 : x
2. Step 2: Convert to fraction form
   1,414.81/1,952.63 = 825.37/x
3. Step 3: Cross multiply
   1,414.81x = 1,952.63 × 825.37
4. Step 4: Simplify right side
   1,414.81x = 1,611,639.40
5. Step 5: Solve for x
   x = 1,611,639.40/1,414.81
6. Step 6: Final answer
   x = 1,139.12