My answer would have to be the U.S. federal government. Even in the event of a nuclear war that wipes every industry off the map, the U.S. government will still be constitutionally required to do a decennial census. However, I think analytics will grow in every field in the years to come. The area that I think has the most to gain from more analytical talent? Retail and wholesale distribution.
I thought to answer quickly, but the term "last field" made me think differently.
There will always be a new frontier to research and thus the "last field."
So I'll consider this from 'the now', and then 'the future.'
As to "Now" - I'd say - in general, the government. If you have read Alvin Toffler (Future Shock or Powershift) then those institutions under threat from changes in the information age, are most likely to cling to past practices. Top of this list is Governments. Governments move ponderously and do not change quickly. Governments do not lead innovation. Governments rely on business & universities (research departments) to innovate and develop new analytic methods. Governments always have a need. I suggest that the IRS (internal revenue service) is the LAST.
As to the "Future" Last area - people are drowning in information. Its not feasible today, for an individual to build his own personal analytic system. Hence talent is needed to solve this problem but it will not happen for a very long time; and perhaps the LAST area where there is a need.