Finding the Fourth Proportional to 1,151.85, 1,727.60 and 566.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.85 : 1,727.60 = 566.69 : x
2. Step 2: Convert to fraction form
   1,151.85/1,727.60 = 566.69/x
3. Step 3: Cross multiply
   1,151.85x = 1,727.60 × 566.69
4. Step 4: Simplify right side
   1,151.85x = 979,017.91
5. Step 5: Solve for x
   x = 979,017.91/1,151.85
6. Step 6: Final answer
   x = 849.95