Finding the Fourth Proportional to 1,566.78, 2,162.20 and 868.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.78 : 2,162.20 = 868.16 : x
2. Step 2: Convert to fraction form
   1,566.78/2,162.20 = 868.16/x
3. Step 3: Cross multiply
   1,566.78x = 2,162.20 × 868.16
4. Step 4: Simplify right side
   1,566.78x = 1,877,135.55
5. Step 5: Solve for x
   x = 1,877,135.55/1,566.78
6. Step 6: Final answer
   x = 1,198.08