Finding the Fourth Proportional to 2,738.98, 3,776.02 and 2,066.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.98 : 3,776.02 = 2,066.49 : x
2. Step 2: Convert to fraction form
   2,738.98/3,776.02 = 2,066.49/x
3. Step 3: Cross multiply
   2,738.98x = 3,776.02 × 2,066.49
4. Step 4: Simplify right side
   2,738.98x = 7,803,107.57
5. Step 5: Solve for x
   x = 7,803,107.57/2,738.98
6. Step 6: Final answer
   x = 2,848.91