Finding the Fourth Proportional to 2,457.93, 3,686.10 and 814.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.93 : 3,686.10 = 814.10 : x
2. Step 2: Convert to fraction form
   2,457.93/3,686.10 = 814.10/x
3. Step 3: Cross multiply
   2,457.93x = 3,686.10 × 814.10
4. Step 4: Simplify right side
   2,457.93x = 3,000,854.01
5. Step 5: Solve for x
   x = 3,000,854.01/2,457.93
6. Step 6: Final answer
   x = 1,220.89