Finding the Fourth Proportional to 1,414.87, 1,953.18 and 825.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.87 : 1,953.18 = 825.31 : x
2. Step 2: Convert to fraction form
   1,414.87/1,953.18 = 825.31/x
3. Step 3: Cross multiply
   1,414.87x = 1,953.18 × 825.31
4. Step 4: Simplify right side
   1,414.87x = 1,611,978.99
5. Step 5: Solve for x
   x = 1,611,978.99/1,414.87
6. Step 6: Final answer
   x = 1,139.31