Finding the Fourth Proportional to 2,078.48, 3,119.07 and 1,105.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,078.48 : 3,119.07 = 1,105.26 : x
2. Step 2: Convert to fraction form
   2,078.48/3,119.07 = 1,105.26/x
3. Step 3: Cross multiply
   2,078.48x = 3,119.07 × 1,105.26
4. Step 4: Simplify right side
   2,078.48x = 3,447,383.31
5. Step 5: Solve for x
   x = 3,447,383.31/2,078.48
6. Step 6: Final answer
   x = 1,658.61