The classification of polar spaces was completed by Tits in his monumental work [19] who showed as an intermediate step that almost all of them were embeddable in a projective space. The current paper is part of a project to classify all full projective embeddings of the duals of polar spaces. A complete classification is available for rank 2 by the work of Tits [19], Buekenhout–Lefèvre [4] and Dienst [13]. Recently, significant process was made in the rank 3 case by De Bruyn and Van Maldeghem [12], who showed, among other things, that the members of five families of dual polar spaces of rank 3 related to alternative division rings have full projective embeddings. For two of these families, the quaternionic dual polar spaces and the dual polar spaces of mixed type, it was not yet known whether full projective embeddings exist for rank at least four. In the present paper, we prove that any “mixed dual polar space” of rank at least 2 has a full projective embedding.