Finding the Fourth Proportional to 3,111.23, 4,294.38 and 2,049.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,111.23 : 4,294.38 = 2,049.77 : x
2. Step 2: Convert to fraction form
   3,111.23/4,294.38 = 2,049.77/x
3. Step 3: Cross multiply
   3,111.23x = 4,294.38 × 2,049.77
4. Step 4: Simplify right side
   3,111.23x = 8,802,469.82
5. Step 5: Solve for x
   x = 8,802,469.82/3,111.23
6. Step 6: Final answer
   x = 2,829.26