If the 4th wail does indeed have 3 parts, then that's sufficient information to place an o0bject in 3d space. However, without knowledge of the co-ordinate system (origin, units) that's not useful.
On the other hand, if we assume a sensible co-ordinate system some likely candidates can be converted to our system using matrix algebra:
Cartesian co-ordinates: we need an origin (a, b, c), and three direction vectors ((d, e, f), (g, h, i), (j, k, l)) - although the restriction on requiring right angles between the vectors reduces the problem space to Primary Vector (c, d, e), Secondary Vector rotation (f) and Tertiary vector sign bit (g). If this assumption is valid, we need 8 data points to solve it. Issues related to alien units wash out in the length of the direction vectors.
Spherical polar co-ordinates (including celestial co-ordinate systems): Also require an origin (a, b, c), but we also have to establish a polar vector (d, e, f), a meridian (g) and a distance (h). The polar vector and the meridian might be established naturally from the origin body, but until we've solved the equation we have no idea about the body. Also, alien measurements of angle and length don't fall out of this formulation as conveniently.
Of course, this is assuming that the algebra is tractable, and I'm currently too lazy to put in the spadework to find out.
On a completely different note, the different format of wail 4 might suggest a slightly different notation to the other wails. We measure celestial co-ordinates in degrees, minutes and seconds. The last two terms of each triplet follow the divisor format, but there might be another operation between the first two terms we need to think about. Addition or subtraction makes no sense, exponential might work but gives us some wacky numbers.
