For lots of information, go to the jensen transformers web site
http://www.jensen-transformers.com/ then "white papers" then AN-003, "Interconnection of Balanced and Unbalanced Equipment". There is a lot of valuable background information in this paper.
Unfortunately, Whitlock shows more options for connecting unbalanced outputs to balanced inputs, compared to the reverse which is your case. Both of his suggestions involve a transformer. Also note that he assumes the balanced output is 12dB louder so his circuits proved 12dB of voltage attenuation - hard to say whether you need that or not, without more information.
In the text (but not diagrammed) he describes how a source device with an output transformer can be can be connected with no additional transformer; this assumes the output of the OPT is not center-tapped or grounded in any way. He does not describe using one side only of a "typical balanced output" as implemented with opamps - this is the arrangement proposed by JC and Grainger49.
A quick search for adapters provides this phrase, used in most descriptions: "Wired according to IEC 268-12: pin 2 = signal pin 1 and 3" - the same as described by audiblesoundwave. JC's concern is valid when examined in light of the Jensen paper's circuits, leaving some confusion! I have not been able to find a reliable answer in a quick search this morning, so I advise that you ask the DAC manufacturer for their advice - possibly quoting the description of the adapter you propose to use so they have a specific configuration to address. If you do this, please post what you hear back!