In the paper, fourth-order delay differential equations of the form \t\t\t(r3(r2(r1y′)′)′)′(t)+q(t)y(τ(t))=0\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$ \\bigl(r_{3} \\bigl(r_{2} \\bigl(r_{1}y' \\bigr)' \\bigr)' \\bigr)'(t) + q(t) y \\bigl( \\tau (t) \\bigr) = 0 $$\\end{document} under the assumption \t\t\t∫t0∞dtri(t)<∞,i=1,2,3,\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$ \\int _{t_{0}}^{\\infty }\\frac{\\mathrm {d}t}{r_{i}(t)} < \\infty , \\quad i = 1,2,3, $$\\end{document} are investigated. Our newly proposed approach allows us to greatly reduce a number of conditions ensuring that all solutions of the studied equation oscillate. An example is also presented to test the strength and applicability of the results obtained.