Finding the Fourth Proportional to 2,675.85, 4,014.15 and 827.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,675.85 : 4,014.15 = 827.12 : x
2. Step 2: Convert to fraction form
   2,675.85/4,014.15 = 827.12/x
3. Step 3: Cross multiply
   2,675.85x = 4,014.15 × 827.12
4. Step 4: Simplify right side
   2,675.85x = 3,320,196.89
5. Step 5: Solve for x
   x = 3,320,196.89/2,675.85
6. Step 6: Final answer
   x = 1,240.80