Finding the Fourth Proportional to 2,457.56, 3,686.56 and 814.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,457.56 : 3,686.56 = 814.12 : x
2. Step 2: Convert to fraction form
   2,457.56/3,686.56 = 814.12/x
3. Step 3: Cross multiply
   2,457.56x = 3,686.56 × 814.12
4. Step 4: Simplify right side
   2,457.56x = 3,001,302.23
5. Step 5: Solve for x
   x = 3,001,302.23/2,457.56
6. Step 6: Final answer
   x = 1,221.25