Finding the Fourth Proportional to 2,543.76, 3,815.48 and 812.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,543.76 : 3,815.48 = 812.24 : x
2. Step 2: Convert to fraction form
   2,543.76/3,815.48 = 812.24/x
3. Step 3: Cross multiply
   2,543.76x = 3,815.48 × 812.24
4. Step 4: Simplify right side
   2,543.76x = 3,099,085.48
5. Step 5: Solve for x
   x = 3,099,085.48/2,543.76
6. Step 6: Final answer
   x = 1,218.31