Step 1: Decode the name of the complex.
The complex is named: tetraammineaquachlorocobalt (III) chloride.
This means the coordination sphere contains:
- 4 ammine ligands \((NH_3)\)
- 1 aqua ligand \((H_2O)\)
- 1 chloro ligand \((Cl^-)\)
And central metal is cobalt in +3 oxidation state \((Co^{3+})\).
Step 2: Write the complex ion.
So coordination entity is:
\[
[\text{Co}(NH_3)_4(H_2O)Cl]^{x}
\]
Step 3: Determine charge on complex ion.
Oxidation state of Co = \(+3\).
Charge contributed by ligands:
- \(NH_3\) is neutral
- \(H_2O\) is neutral
- \(Cl^-\) contributes \(-1\)
So charge on complex:
\[
x = +3 + (-1) = +2
\]
Thus the complex ion is:
\[
[\text{CoCl}(H_2O)(NH_3)_4]^{2+}
\]
Step 4: Add chloride ions outside to balance charge.
To balance \(2+\) charge, we need \(2\) chloride ions outside:
\[
[\text{CoCl}(H_2O)(NH_3)_4]\text{Cl}_2
\]
Final Answer:
\[
\boxed{[\text{CoCl}(H_2O)(NH_3)_4]\text{Cl}_2}
\]