Balance the following interior angles $($angles$-$to$-$the$-$right$)$ of a five$-$ sided closed polygon traverse using method $1.$ If the azimuth of side $AB$ is $74\text{'}31\text{'}17\text{'},$ calculate the azimuths of the remaining sides. $A=105{13}^{\text{'}}{15}^{\text{'}}$; $B=92{36}^{\text{'}}{04}^{\text{'}}$; $C=67{15}^{\text{'}}{20}^{\text{'}\text{'}}$;$D=217{24}^{\text{'}}{32}^{\text{'}\text{'}}$;$E=57{30}^{\text{'}}{38}^{\text{'}\text{'}}.($Note: Line BC bears NW$.)$ Convert each azimuth to a bearing.