Finding the Fourth Proportional to 1,454.57, 2,007.47 and 865.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,454.57 : 2,007.47 = 865.43 : x
2. Step 2: Convert to fraction form
   1,454.57/2,007.47 = 865.43/x
3. Step 3: Cross multiply
   1,454.57x = 2,007.47 × 865.43
4. Step 4: Simplify right side
   1,454.57x = 1,737,316.89
5. Step 5: Solve for x
   x = 1,737,316.89/1,454.57
6. Step 6: Final answer
   x = 1,194.39