Finding the Fourth Proportional to 1,105.78, 1,523.96 and 1,074.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.78 : 1,523.96 = 1,074.18 : x
2. Step 2: Convert to fraction form
   1,105.78/1,523.96 = 1,074.18/x
3. Step 3: Cross multiply
   1,105.78x = 1,523.96 × 1,074.18
4. Step 4: Simplify right side
   1,105.78x = 1,637,007.35
5. Step 5: Solve for x
   x = 1,637,007.35/1,105.78
6. Step 6: Final answer
   x = 1,480.41