Finding the Fourth Proportional to 1,182.93, 1,774.76 and 566.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.93 : 1,774.76 = 566.55 : x
2. Step 2: Convert to fraction form
   1,182.93/1,774.76 = 566.55/x
3. Step 3: Cross multiply
   1,182.93x = 1,774.76 × 566.55
4. Step 4: Simplify right side
   1,182.93x = 1,005,490.28
5. Step 5: Solve for x
   x = 1,005,490.28/1,182.93
6. Step 6: Final answer
   x = 850.00