Finding the Fourth Proportional to 2,562.48, 3,846.33 and 2,271.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.48 : 3,846.33 = 2,271.78 : x
2. Step 2: Convert to fraction form
   2,562.48/3,846.33 = 2,271.78/x
3. Step 3: Cross multiply
   2,562.48x = 3,846.33 × 2,271.78
4. Step 4: Simplify right side
   2,562.48x = 8,738,015.57
5. Step 5: Solve for x
   x = 8,738,015.57/2,562.48
6. Step 6: Final answer
   x = 3,409.98