Finding the Fourth Proportional to 1,456.38, 2,183.56 and 725.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.38 : 2,183.56 = 725.76 : x
2. Step 2: Convert to fraction form
   1,456.38/2,183.56 = 725.76/x
3. Step 3: Cross multiply
   1,456.38x = 2,183.56 × 725.76
4. Step 4: Simplify right side
   1,456.38x = 1,584,738.69
5. Step 5: Solve for x
   x = 1,584,738.69/1,456.38
6. Step 6: Final answer
   x = 1,088.14