Finding the Fourth Proportional to 3,778.76, 5,214.17 and 2,099.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.76 : 5,214.17 = 2,099.94 : x
2. Step 2: Convert to fraction form
   3,778.76/5,214.17 = 2,099.94/x
3. Step 3: Cross multiply
   3,778.76x = 5,214.17 × 2,099.94
4. Step 4: Simplify right side
   3,778.76x = 10,949,433.65
5. Step 5: Solve for x
   x = 10,949,433.65/3,778.76
6. Step 6: Final answer
   x = 2,897.63