Finding the Fourth Proportional to 3,857.89, 5,323.89 and 2,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.89 : 5,323.89 = 2,089.50 : x
2. Step 2: Convert to fraction form
   3,857.89/5,323.89 = 2,089.50/x
3. Step 3: Cross multiply
   3,857.89x = 5,323.89 × 2,089.50
4. Step 4: Simplify right side
   3,857.89x = 11,124,268.16
5. Step 5: Solve for x
   x = 11,124,268.16/3,857.89
6. Step 6: Final answer
   x = 2,883.51