Finding the Fourth Proportional to 3,677.10, 5,074.83 and 2,105.70

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.10 : 5,074.83 = 2,105.70 : x
2. Step 2: Convert to fraction form
   3,677.10/5,074.83 = 2,105.70/x
3. Step 3: Cross multiply
   3,677.10x = 5,074.83 × 2,105.70
4. Step 4: Simplify right side
   3,677.10x = 10,686,069.53
5. Step 5: Solve for x
   x = 10,686,069.53/3,677.10
6. Step 6: Final answer
   x = 2,906.11