At the lowest level (C-like), the application binary interface follows some calling conventions, notably how arguments are transmitted to a function, and it usually depends on the type of the argument (often, pointers go in some processor registers and floating point numbers go in some other kind of registers).
If you want to call a function of unknown signature (i.e. you know its signature and the actual arguments and their number only at runtime, not at compile time) you need some ABI specific tricks, and probably some machine specific code. You might consider using the libffi which provides
a portable, high level programming interface to various calling conventions
BTW, you could consider packing or boxing your values in some "universal" container à la boost::any or QVariant or your own tagged unions, or perhaps boost::variant
Perhaps you might want to embed some interpreter in your application, e.g. GNU guile or Lua.
Noticve that for C or C++, functions and function pointers have some compile-time known signature which matters a lot. Calling something with the wrong signature (that is a function whose signature is not the one the compiler expects) is undefined behavior.