Finding the Fourth Proportional to 2,456.58, 3,685.31 and 814.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.58 : 3,685.31 = 814.30 : x
2. Step 2: Convert to fraction form
   2,456.58/3,685.31 = 814.30/x
3. Step 3: Cross multiply
   2,456.58x = 3,685.31 × 814.30
4. Step 4: Simplify right side
   2,456.58x = 3,000,947.93
5. Step 5: Solve for x
   x = 3,000,947.93/2,456.58
6. Step 6: Final answer
   x = 1,221.60