Finding the Fourth Proportional to 1,025.73, 1,537.31 and 440.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.73 : 1,537.31 = 440.04 : x
2. Step 2: Convert to fraction form
   1,025.73/1,537.31 = 440.04/x
3. Step 3: Cross multiply
   1,025.73x = 1,537.31 × 440.04
4. Step 4: Simplify right side
   1,025.73x = 676,477.89
5. Step 5: Solve for x
   x = 676,477.89/1,025.73
6. Step 6: Final answer
   x = 659.51