Finding the Fourth Proportional to 3,857.50, 5,323.30 and 2,089.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.50 : 5,323.30 = 2,089.06 : x
2. Step 2: Convert to fraction form
   3,857.50/5,323.30 = 2,089.06/x
3. Step 3: Cross multiply
   3,857.50x = 5,323.30 × 2,089.06
4. Step 4: Simplify right side
   3,857.50x = 11,120,693.10
5. Step 5: Solve for x
   x = 11,120,693.10/3,857.50
6. Step 6: Final answer
   x = 2,882.88