Finding the Fourth Proportional to 3,778.72, 5,214.53 and 2,100.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.72 : 5,214.53 = 2,100.05 : x
2. Step 2: Convert to fraction form
   3,778.72/5,214.53 = 2,100.05/x
3. Step 3: Cross multiply
   3,778.72x = 5,214.53 × 2,100.05
4. Step 4: Simplify right side
   3,778.72x = 10,950,737.15
5. Step 5: Solve for x
   x = 10,950,737.15/3,778.72
6. Step 6: Final answer
   x = 2,898.00