Finding the Fourth Proportional to 2,827.82, 4,242.49 and 1,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,827.82 : 4,242.49 = 1,183.50 : x
2. Step 2: Convert to fraction form
   2,827.82/4,242.49 = 1,183.50/x
3. Step 3: Cross multiply
   2,827.82x = 4,242.49 × 1,183.50
4. Step 4: Simplify right side
   2,827.82x = 5,020,986.92
5. Step 5: Solve for x
   x = 5,020,986.92/2,827.82
6. Step 6: Final answer
   x = 1,775.57