Finding the Fourth Proportional to 2,738.64, 4,105.40 and 1,096.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.64 : 4,105.40 = 1,096.40 : x
2. Step 2: Convert to fraction form
   2,738.64/4,105.40 = 1,096.40/x
3. Step 3: Cross multiply
   2,738.64x = 4,105.40 × 1,096.40
4. Step 4: Simplify right side
   2,738.64x = 4,501,160.56
5. Step 5: Solve for x
   x = 4,501,160.56/2,738.64
6. Step 6: Final answer
   x = 1,643.58