Finding the Fourth Proportional to 1,540.78, 2,126.22 and 868.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.78 : 2,126.22 = 868.62 : x
2. Step 2: Convert to fraction form
   1,540.78/2,126.22 = 868.62/x
3. Step 3: Cross multiply
   1,540.78x = 2,126.22 × 868.62
4. Step 4: Simplify right side
   1,540.78x = 1,846,879.39
5. Step 5: Solve for x
   x = 1,846,879.39/1,540.78
6. Step 6: Final answer
   x = 1,198.67