Finding the Fourth Proportional to 4,105.50, 5,665.59 and 3,775.74

Step by Step Solution

1. Step 1: Write the proportion equation
   4,105.50 : 5,665.59 = 3,775.74 : x
2. Step 2: Convert to fraction form
   4,105.50/5,665.59 = 3,775.74/x
3. Step 3: Cross multiply
   4,105.50x = 5,665.59 × 3,775.74
4. Step 4: Simplify right side
   4,105.50x = 21,391,794.79
5. Step 5: Solve for x
   x = 21,391,794.79/4,105.50
6. Step 6: Final answer
   x = 5,210.52