Finding the Fourth Proportional to 2,457.82, 3,686.36 and 814.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.82 : 3,686.36 = 814.38 : x
2. Step 2: Convert to fraction form
   2,457.82/3,686.36 = 814.38/x
3. Step 3: Cross multiply
   2,457.82x = 3,686.36 × 814.38
4. Step 4: Simplify right side
   2,457.82x = 3,002,097.86
5. Step 5: Solve for x
   x = 3,002,097.86/2,457.82
6. Step 6: Final answer
   x = 1,221.45