Finding the Fourth Proportional to 2,457.81, 3,686.76 and 814.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.81 : 3,686.76 = 814.37 : x
2. Step 2: Convert to fraction form
   2,457.81/3,686.76 = 814.37/x
3. Step 3: Cross multiply
   2,457.81x = 3,686.76 × 814.37
4. Step 4: Simplify right side
   2,457.81x = 3,002,368.31
5. Step 5: Solve for x
   x = 3,002,368.31/2,457.81
6. Step 6: Final answer
   x = 1,221.56