How to include graphics with spaces in their path?

Use package grffile:

\usepackage{graphicx}
\usepackage[space]{grffile}
[ ... ]
\includegraphics[...]{A file with spaces}

Try etoolbox package:

\usepackage{etoolbox}
\makeatletter
\patchcmd{\Ginclude@eps}{"#1"}{#1}{}{}
\makeatother
...
\includegraphics{"file name.eps"}

The macro \Ginclude@eps is defined in the file dvips.def. It uses \special{PSfile="#1"\space ... which causes problems if additional "" are used. I patched this, such that it behaves like it was written PSfile=#1 and it worked for me in a test with an eps file with a space in the name and dvips.

A simpler solution would be...

\includegraphics{{"../Current folder/1.This file"}.png}

(For Windows users,) note that the slashes all need to be forward slashes.