Finding the Fourth Proportional to 3,185.70, 4,778.61 and 1,105.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,185.70 : 4,778.61 = 1,105.78 : x
2. Step 2: Convert to fraction form
   3,185.70/4,778.61 = 1,105.78/x
3. Step 3: Cross multiply
   3,185.70x = 4,778.61 × 1,105.78
4. Step 4: Simplify right side
   3,185.70x = 5,284,091.37
5. Step 5: Solve for x
   x = 5,284,091.37/3,185.70
6. Step 6: Final answer
   x = 1,658.69