Finding the Fourth Proportional to 1,182.98, 1,774.49 and 564.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.98 : 1,774.49 = 564.82 : x
2. Step 2: Convert to fraction form
   1,182.98/1,774.49 = 564.82/x
3. Step 3: Cross multiply
   1,182.98x = 1,774.49 × 564.82
4. Step 4: Simplify right side
   1,182.98x = 1,002,260.18
5. Step 5: Solve for x
   x = 1,002,260.18/1,182.98
6. Step 6: Final answer
   x = 847.23