Finding the Fourth Proportional to 2,675.82, 4,012.26 and 826.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,675.82 : 4,012.26 = 826.42 : x
2. Step 2: Convert to fraction form
   2,675.82/4,012.26 = 826.42/x
3. Step 3: Cross multiply
   2,675.82x = 4,012.26 × 826.42
4. Step 4: Simplify right side
   2,675.82x = 3,315,811.91
5. Step 5: Solve for x
   x = 3,315,811.91/2,675.82
6. Step 6: Final answer
   x = 1,239.18