Finding the Fourth Proportional to 1,256.37, 1,734.03 and 725.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256.37 : 1,734.03 = 725.57 : x
2. Step 2: Convert to fraction form
   1,256.37/1,734.03 = 725.57/x
3. Step 3: Cross multiply
   1,256.37x = 1,734.03 × 725.57
4. Step 4: Simplify right side
   1,256.37x = 1,258,160.15
5. Step 5: Solve for x
   x = 1,258,160.15/1,256.37
6. Step 6: Final answer
   x = 1,001.42