Finding the Fourth Proportional to 1,454.50, 2,007.50 and 825.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,454.50 : 2,007.50 = 825.04 : x
2. Step 2: Convert to fraction form
   1,454.50/2,007.50 = 825.04/x
3. Step 3: Cross multiply
   1,454.50x = 2,007.50 × 825.04
4. Step 4: Simplify right side
   1,454.50x = 1,656,267.80
5. Step 5: Solve for x
   x = 1,656,267.80/1,454.50
6. Step 6: Final answer
   x = 1,138.72