Finding the Fourth Proportional to 2,456.32, 3,683.64 and 812.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.32 : 3,683.64 = 812.48 : x
2. Step 2: Convert to fraction form
   2,456.32/3,683.64 = 812.48/x
3. Step 3: Cross multiply
   2,456.32x = 3,683.64 × 812.48
4. Step 4: Simplify right side
   2,456.32x = 2,992,883.83
5. Step 5: Solve for x
   x = 2,992,883.83/2,456.32
6. Step 6: Final answer
   x = 1,218.44