Finding the Fourth Proportional to 1,182.82, 1,774.52 and 596.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.82 : 1,774.52 = 596.38 : x
2. Step 2: Convert to fraction form
   1,182.82/1,774.52 = 596.38/x
3. Step 3: Cross multiply
   1,182.82x = 1,774.52 × 596.38
4. Step 4: Simplify right side
   1,182.82x = 1,058,288.24
5. Step 5: Solve for x
   x = 1,058,288.24/1,182.82
6. Step 6: Final answer
   x = 894.72