Finding the Fourth Proportional to 2,458.02, 3,686.64 and 814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,458.02 : 3,686.64 = 814.50 : x
2. Step 2: Convert to fraction form
   2,458.02/3,686.64 = 814.50/x
3. Step 3: Cross multiply
   2,458.02x = 3,686.64 × 814.50
4. Step 4: Simplify right side
   2,458.02x = 3,002,768.28
5. Step 5: Solve for x
   x = 3,002,768.28/2,458.02
6. Step 6: Final answer
   x = 1,221.62