Finding the Fourth Proportional to 2,456.96, 3,682.78 and 812.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.96 : 3,682.78 = 812.32 : x
2. Step 2: Convert to fraction form
   2,456.96/3,682.78 = 812.32/x
3. Step 3: Cross multiply
   2,456.96x = 3,682.78 × 812.32
4. Step 4: Simplify right side
   2,456.96x = 2,991,595.85
5. Step 5: Solve for x
   x = 2,991,595.85/2,456.96
6. Step 6: Final answer
   x = 1,217.60