Finding the Fourth Proportional to 3,677.50, 5,074.97 and 2,105.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.50 : 5,074.97 = 2,105.61 : x
2. Step 2: Convert to fraction form
   3,677.50/5,074.97 = 2,105.61/x
3. Step 3: Cross multiply
   3,677.50x = 5,074.97 × 2,105.61
4. Step 4: Simplify right side
   3,677.50x = 10,685,907.58
5. Step 5: Solve for x
   x = 10,685,907.58/3,677.50
6. Step 6: Final answer
   x = 2,905.75