Finding the Fourth Proportional to 3,677.48, 5,074.92 and 2,105.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.48 : 5,074.92 = 2,105.56 : x
2. Step 2: Convert to fraction form
   3,677.48/5,074.92 = 2,105.56/x
3. Step 3: Cross multiply
   3,677.48x = 5,074.92 × 2,105.56
4. Step 4: Simplify right side
   3,677.48x = 10,685,548.56
5. Step 5: Solve for x
   x = 10,685,548.56/3,677.48
6. Step 6: Final answer
   x = 2,905.67