Finding the Fourth Proportional to 1,454.96, 2,007.83 and 825.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,454.96 : 2,007.83 = 825.61 : x
2. Step 2: Convert to fraction form
   1,454.96/2,007.83 = 825.61/x
3. Step 3: Cross multiply
   1,454.96x = 2,007.83 × 825.61
4. Step 4: Simplify right side
   1,454.96x = 1,657,684.53
5. Step 5: Solve for x
   x = 1,657,684.53/1,454.96
6. Step 6: Final answer
   x = 1,139.33