Finding the Fourth Proportional to 2,563.16, 3,845.82 and 1,082.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.16 : 3,845.82 = 1,082.75 : x
2. Step 2: Convert to fraction form
   2,563.16/3,845.82 = 1,082.75/x
3. Step 3: Cross multiply
   2,563.16x = 3,845.82 × 1,082.75
4. Step 4: Simplify right side
   2,563.16x = 4,164,042.38
5. Step 5: Solve for x
   x = 4,164,042.38/2,563.16
6. Step 6: Final answer
   x = 1,624.58