Finding the Fourth Proportional to 2,738.96, 4,082.42 and 2,583.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.96 : 4,082.42 = 2,583.29 : x
2. Step 2: Convert to fraction form
   2,738.96/4,082.42 = 2,583.29/x
3. Step 3: Cross multiply
   2,738.96x = 4,082.42 × 2,583.29
4. Step 4: Simplify right side
   2,738.96x = 10,546,041.43
5. Step 5: Solve for x
   x = 10,546,041.43/2,738.96
6. Step 6: Final answer
   x = 3,850.39