Finding the Fourth Proportional to 3,767.82, 5,199.50 and 2,089.23

Step by Step Solution

1. Step 1: Write the proportion equation
   3,767.82 : 5,199.50 = 2,089.23 : x
2. Step 2: Convert to fraction form
   3,767.82/5,199.50 = 2,089.23/x
3. Step 3: Cross multiply
   3,767.82x = 5,199.50 × 2,089.23
4. Step 4: Simplify right side
   3,767.82x = 10,862,931.23
5. Step 5: Solve for x
   x = 10,862,931.23/3,767.82
6. Step 6: Final answer
   x = 2,883.08