how to populate select box with jquery?

i have a requirement in which when i click on a element of a list , the element gets shown as a selected option in the select box

i need to use native select box only , not to mention the elements in the list are present in the select dropdown

<button class="quick">QuickLink</button>

<div class="list">
<ul class="apps">
    <li>CAPM</li>
    <li>GCS</li>
    <li>GRS</li>
</ul>
</div>

<select class="xyz">
<option>CAPM</option>
<option>GRS</option>
<option>BDS</option>
<option>CCAS</option>
<option>WEDAT</option>
<option>SDP</option>
</select>

jsfiddle link --> http://ift.tt/1JJS2mI