Finding the Fourth Proportional to 3,857.98, 5,323.98 and 2,089.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.98 : 5,323.98 = 2,089.57 : x
2. Step 2: Convert to fraction form
   3,857.98/5,323.98 = 2,089.57/x
3. Step 3: Cross multiply
   3,857.98x = 5,323.98 × 2,089.57
4. Step 4: Simplify right side
   3,857.98x = 11,124,828.89
5. Step 5: Solve for x
   x = 11,124,828.89/3,857.98
6. Step 6: Final answer
   x = 2,883.59