Interpolation using four nodes

Question

Suppose there are four points $(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)$ my target is to interpolate any point $x_I$ between $x_2$ and $x_3$. Is there any Interpolation method which gives linear relation to find value of $y_I$ using above four point? I am looking for any numerical method or any approximation method (not Newton or Lagrange method)