Finding the Fourth Proportional to 1,151.56, 1,725.99 and 566.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.56 : 1,725.99 = 566.83 : x
2. Step 2: Convert to fraction form
   1,151.56/1,725.99 = 566.83/x
3. Step 3: Cross multiply
   1,151.56x = 1,725.99 × 566.83
4. Step 4: Simplify right side
   1,151.56x = 978,342.91
5. Step 5: Solve for x
   x = 978,342.91/1,151.56
6. Step 6: Final answer
   x = 849.58