Finding the Fourth Proportional to 2,456.27, 3,684.51 and 812.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.27 : 3,684.51 = 812.78 : x
2. Step 2: Convert to fraction form
   2,456.27/3,684.51 = 812.78/x
3. Step 3: Cross multiply
   2,456.27x = 3,684.51 × 812.78
4. Step 4: Simplify right side
   2,456.27x = 2,994,677.62
5. Step 5: Solve for x
   x = 2,994,677.62/2,456.27
6. Step 6: Final answer
   x = 1,219.20