Finding the Fourth Proportional to 2,678.33, 3,695.50 and 2,049.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,678.33 : 3,695.50 = 2,049.57 : x
2. Step 2: Convert to fraction form
   2,678.33/3,695.50 = 2,049.57/x
3. Step 3: Cross multiply
   2,678.33x = 3,695.50 × 2,049.57
4. Step 4: Simplify right side
   2,678.33x = 7,574,185.94
5. Step 5: Solve for x
   x = 7,574,185.94/2,678.33
6. Step 6: Final answer
   x = 2,827.95