Finding the Fourth Proportional to 1,086.17, 1,629.71 and 566.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.17 : 1,629.71 = 566.30 : x
2. Step 2: Convert to fraction form
   1,086.17/1,629.71 = 566.30/x
3. Step 3: Cross multiply
   1,086.17x = 1,629.71 × 566.30
4. Step 4: Simplify right side
   1,086.17x = 922,904.77
5. Step 5: Solve for x
   x = 922,904.77/1,086.17
6. Step 6: Final answer
   x = 849.69