Finding the Fourth Proportional to 2,105.86, 3,158.42 and 566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.86 : 3,158.42 = 566.50 : x
2. Step 2: Convert to fraction form
   2,105.86/3,158.42 = 566.50/x
3. Step 3: Cross multiply
   2,105.86x = 3,158.42 × 566.50
4. Step 4: Simplify right side
   2,105.86x = 1,789,244.93
5. Step 5: Solve for x
   x = 1,789,244.93/2,105.86
6. Step 6: Final answer
   x = 849.65