Here's a breakdown of the densities of those rocks, from least dense to densest:

* Shale: Typically the least dense, with a density around 2.4 - 2.8 g/cm³.

* Limestone: Can vary depending on the composition, but generally has a density around 2.5 - 2.7 g/cm³.

* Marble: A metamorphic rock, usually denser than limestone, with a density around 2.6 - 2.8 g/cm³.

* Basalt: A volcanic rock, known for its density, with a density around 2.9 - 3.0 g/cm³.

Therefore, basalt is the densest rock among those listed.

Remember that these are approximate ranges, and the actual density of a specific rock can vary based on factors like its mineral composition, porosity, and weathering.