Finding the Fourth Proportional to 2,457.06, 3,685.72 and 725.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.06 : 3,685.72 = 725.82 : x
2. Step 2: Convert to fraction form
   2,457.06/3,685.72 = 725.82/x
3. Step 3: Cross multiply
   2,457.06x = 3,685.72 × 725.82
4. Step 4: Simplify right side
   2,457.06x = 2,675,169.29
5. Step 5: Solve for x
   x = 2,675,169.29/2,457.06
6. Step 6: Final answer
   x = 1,088.77