Finding the Fourth Proportional to 1,182.16, 1,770.53 and 566.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.16 : 1,770.53 = 566.29 : x
2. Step 2: Convert to fraction form
   1,182.16/1,770.53 = 566.29/x
3. Step 3: Cross multiply
   1,182.16x = 1,770.53 × 566.29
4. Step 4: Simplify right side
   1,182.16x = 1,002,633.43
5. Step 5: Solve for x
   x = 1,002,633.43/1,182.16
6. Step 6: Final answer
   x = 848.14