Finding the Fourth Proportional to 2,105.78, 3,158.58 and 566.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.78 : 3,158.58 = 566.78 : x
2. Step 2: Convert to fraction form
   2,105.78/3,158.58 = 566.78/x
3. Step 3: Cross multiply
   2,105.78x = 3,158.58 × 566.78
4. Step 4: Simplify right side
   2,105.78x = 1,790,219.97
5. Step 5: Solve for x
   x = 1,790,219.97/2,105.78
6. Step 6: Final answer
   x = 850.15