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Students are designing a mobile for children $($a hanging toy to amuse babies$).$

The students hang masses along a long uniform stick of length L$.$ Object A is a circle that has a mass of $5\mathrm{.}4g,$ object $B$ is a triangle of mass $5\mathrm{.}1g,$ object $C$ is a square of mass $5\mathrm{.}6g,$ and object $D$ is star of mass $5\mathrm{.}9g.$ Where must mass $D($the star$)$ be placed along the stick in order for the stick to remain horizontal when hung and released? Answer as a decimal that is multiplied by $L($i$.$e$.$ if mass $D$ needs to be at $\frac{1}{2}$ L type $"0\mathrm{.}500"$ as your answer.$)$