Finding the Fourth Proportional to 2,456.75, 3,685.76 and 725.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.75 : 3,685.76 = 725.38 : x
2. Step 2: Convert to fraction form
   2,456.75/3,685.76 = 725.38/x
3. Step 3: Cross multiply
   2,456.75x = 3,685.76 × 725.38
4. Step 4: Simplify right side
   2,456.75x = 2,673,576.59
5. Step 5: Solve for x
   x = 2,673,576.59/2,456.75
6. Step 6: Final answer
   x = 1,088.26