Finding the Fourth Proportional to 2,105.50, 3,158.31 and 566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.50 : 3,158.31 = 566.50 : x
2. Step 2: Convert to fraction form
   2,105.50/3,158.31 = 566.50/x
3. Step 3: Cross multiply
   2,105.50x = 3,158.31 × 566.50
4. Step 4: Simplify right side
   2,105.50x = 1,789,182.62
5. Step 5: Solve for x
   x = 1,789,182.62/2,105.50
6. Step 6: Final answer
   x = 849.77