Finding the Fourth Proportional to 1,085.85, 1,629.15 and 565.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.85 : 1,629.15 = 565.83 : x
2. Step 2: Convert to fraction form
   1,085.85/1,629.15 = 565.83/x
3. Step 3: Cross multiply
   1,085.85x = 1,629.15 × 565.83
4. Step 4: Simplify right side
   1,085.85x = 921,821.94
5. Step 5: Solve for x
   x = 921,821.94/1,085.85
6. Step 6: Final answer
   x = 848.94