Finding the Fourth Proportional to 2,456.78, 3,685.76 and 725.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.78 : 3,685.76 = 725.41 : x
2. Step 2: Convert to fraction form
   2,456.78/3,685.76 = 725.41/x
3. Step 3: Cross multiply
   2,456.78x = 3,685.76 × 725.41
4. Step 4: Simplify right side
   2,456.78x = 2,673,665.11
5. Step 5: Solve for x
   x = 2,673,665.11/2,456.78
6. Step 6: Final answer
   x = 1,088.28