Finding the Fourth Proportional to 1,182.27, 1,772.91 and 565.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.27 : 1,772.91 = 565.83 : x
2. Step 2: Convert to fraction form
   1,182.27/1,772.91 = 565.83/x
3. Step 3: Cross multiply
   1,182.27x = 1,772.91 × 565.83
4. Step 4: Simplify right side
   1,182.27x = 1,003,165.67
5. Step 5: Solve for x
   x = 1,003,165.67/1,182.27
6. Step 6: Final answer
   x = 848.51