Finding the Fourth Proportional to 1,454.71, 2,007.33 and 825.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,454.71 : 2,007.33 = 825.31 : x
2. Step 2: Convert to fraction form
   1,454.71/2,007.33 = 825.31/x
3. Step 3: Cross multiply
   1,454.71x = 2,007.33 × 825.31
4. Step 4: Simplify right side
   1,454.71x = 1,656,669.52
5. Step 5: Solve for x
   x = 1,656,669.52/1,454.71
6. Step 6: Final answer
   x = 1,138.83