The quadrants are defined as:
1. First Quadrant: \( (+, +) \)
2. Second Quadrant: \( (-, +) \)
3. Third Quadrant: \( (-, -) \)
4. Fourth Quadrant: \( (+, -) \)
Given \( (2\sqrt{7}, -3) \), since \( x>0 \) and \( y<0 \), it lies in the fourth quadrant.