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It is kind of hard to figure out how much X1 has shipped, but my reasoning is this:

We know the combined shipments for X1+X360, and separate shipments for the first two quarters when they were on the market. We can also safely assume that X1´s part of total shipments will increase as time goes by, but I have been a bit moderate with the relative growth. Here are my approximations on X1´s part of total shipments based of the first to quarters that we know of. Considering X1 had a very succesful december, I believe 360 fell even more, but I have calculated with a 70:30 ratio for simplicity. this would put X1 shipments at 12mn by dec31st.

    X1 XBOX360 Total %X1
Q114 Jul-Sep13 0.0 1.2 1.2 0%
Q214 Oct-Dec13 3.9 3.5 7.4 53%
Q314 Jan-Mar14 1.2 0.8 2 60%
Q414 Apr-Jun14 0.7 0.4 1.1 63%
           
Q115 Jul-Sep14 1.6 0.8 2.4 67%
Q215 Oct-Dec14 4.6 2.0 6.6 70%
Q315 Jan-Mar15 1.2 0.4 1.6 73%

It is therefore pretty safe to assume it stand at atleast 11mn sold by Dec31st.