PACS numbers:Density waves are inherent to the phase diagrams of materials that exhibit unusual, and sometimes extraordinarily useful properties, such as superconductivity and colossal magnetoresistance [1, 2, 3, 4]. While the pure charge density waves (CDW) are well described by an itinerant approach [5, 6], where electrons are treated as waves propagating through the crystal, the charge-orbital ordering (COO) is usually explained by a local approach [7], where the electrons are treated as localized on the atomic sites. Here we show that in the half-doped manganite La 0.5 Sr 1.5 MnO 4 (LSMO) the electronic susceptibility, calculated from the angle-resolved photoemission spectra (ARPES), exhibits a prominent nesting-driven peak at one quarter of the Brillouin zone diagonal, that is equal to the reciprocal lattice vector of the charge-orbital pattern. Our results demonstrate that the Fermi surface geometry determines the propensity of the system to form a COO state which, in turn, implies the applicability of the itinerant approach also to the COO.