Finding the Fourth Proportional to 3,767.71, 5,198.96 and 2,089.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,767.71 : 5,198.96 = 2,089.10 : x
2. Step 2: Convert to fraction form
   3,767.71/5,198.96 = 2,089.10/x
3. Step 3: Cross multiply
   3,767.71x = 5,198.96 × 2,089.10
4. Step 4: Simplify right side
   3,767.71x = 10,861,136.89
5. Step 5: Solve for x
   x = 10,861,136.89/3,767.71
6. Step 6: Final answer
   x = 2,882.69