Finding the Fourth Proportional to 2,544.20, 3,815.48 and 812.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,544.20 : 3,815.48 = 812.42 : x
2. Step 2: Convert to fraction form
   2,544.20/3,815.48 = 812.42/x
3. Step 3: Cross multiply
   2,544.20x = 3,815.48 × 812.42
4. Step 4: Simplify right side
   2,544.20x = 3,099,749.12
5. Step 5: Solve for x
   x = 3,099,749.12/2,544.20
6. Step 6: Final answer
   x = 1,218.36