1. Non-toxic composition that is compatible with the skin, suitable for the treatment of fungal infections, comprising a combination of two or more organic acids with low molecular weight, or their salts or derivatives of organic acids, which are converted to organic acids in the presence of moisture dissolved in the carrier in kotoroyorganicheskie acid with low molecular weight may be chosen from: saturated and unsaturated, cyclic and acyclic, branched and unbranched aliphatic carboxylic acids having IU its 10 carbon atoms and in which the longest carbon chain contains about 8 carbon atoms, aromatic carboxylic acids containing at least 10 carbon atoms, isootvetstvuyuschih derivatives of sulfonic and phosphonic acids, the aforementioned aliphatic and aromatic carboxylic acids, each of which may be optionally substituted with one or more, to the functional groups of alkyl, alkenyl, alkynyl, halogen, hydroxy, carbonyl, carboxylic acid, aldehyde, ester, amide, carbonate rbamatnoy, ether, amino, cyano, isocyano, hydroxy, oxo, thio, aza, azide, imine, nitro, nitrate, nitroso, nitrozooksi, cyanate, isocyanate, thiocyanate, isothiocyanate, sulfinyl, sulfhydryl, sulfonyl and phosphonic groups, wherein each of alkyl, alkenyl, alkynyl, and amino groups may be optionally substituted by one or more of the preceding functional groups, the support consists essentially of one or more nonvolatile hygroscopic solvents and wherein the combination of organic acids