Finding the Fourth Proportional to 1,183.27, 1,774.41 and 566.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.27 : 1,774.41 = 566.83 : x
2. Step 2: Convert to fraction form
   1,183.27/1,774.41 = 566.83/x
3. Step 3: Cross multiply
   1,183.27x = 1,774.41 × 566.83
4. Step 4: Simplify right side
   1,183.27x = 1,005,788.82
5. Step 5: Solve for x
   x = 1,005,788.82/1,183.27
6. Step 6: Final answer
   x = 850.01