Finding the Fourth Proportional to 1,258.72, 1,737.24 and 727.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,258.72 : 1,737.24 = 727.62 : x
2. Step 2: Convert to fraction form
   1,258.72/1,737.24 = 727.62/x
3. Step 3: Cross multiply
   1,258.72x = 1,737.24 × 727.62
4. Step 4: Simplify right side
   1,258.72x = 1,264,050.57
5. Step 5: Solve for x
   x = 1,264,050.57/1,258.72
6. Step 6: Final answer
   x = 1,004.23