$$x^4-23x^3+49x^2+365x-1124 = 0$$
Answer
$$ \begin{matrix}x_1 = -4.05111 & x_2 = 19.72398 & x_3 = 3.66357+0.8032i \\[1 em] x_4 = 3.66357-0.8032i & \\[1 em] \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
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