The brain task described - lining up what the eyes see with where the hand is - is a classic example of multisensory integration, and that job belongs to the $\textbf{parietal lobe}$.
Each lobe has a dominant role: the occipital lobe is purely visual (it cannot move a hand), the temporal lobe handles sound, memory and recognising objects, and the frontal lobe issues the final motor output and plans behaviour. None of these by itself fuses vision with body-position sense.
The parietal lobe, in contrast, carries the primary somatosensory cortex on its postcentral gyrus and, just behind it, the posterior parietal association cortex. This region merges visual and proprioceptive signals to direct reaching and grasping, build a spatial map, and maintain awareness of the body in space. Damage produces hemispatial neglect, apraxia, and impaired visually-guided movement - confirming its role.
\[\boxed{\text{Hand--eye coordination is a parietal lobe function}}\]