Contact Form 7: Submit button doesn't work in Twitter Bootstrap Modal

I have multiple forms on my site that are loaded in a Bootstrap Modal on a click of a button. For some reason when I try to submit the forms nothing happens. I have checked the browser console and I can’t find any errors. Also there is no error in the error_log file.

The code below is what I have for my forms. Have I done something wrong?

Edit: I have tested with another form and it seems javascript/jquery is not being loaded in the modal.

<button type="button" class="application_button button" data-toggle="modal" data-target="#jobapplyform">
    <?php esc_attr_e( 'Apply for job', 'wp-job-manager' ); ?>
</button>

<div class="modal fade" id="jobapplyform" tabindex="-1" role="dialog" aria-labelledby="jobModalLabel" aria-hidden="true">                             
    <div class="modal-dialog" role="document">
        <!-- Modal content-->
        <div class="modal-content">
            <div class="modal-header">
                <button type="button" class="close-btn-modal" data-dismiss="modal" aria-label="Close">
                    <img src="<?php echo get_stylesheet_directory_uri(); ?>/img/close-icon.png"/>
                </button>
                <h2 class="modal-title" id="jobModalLabel">Apply</h2>
            </div>                                   
            <div class="modal-body">
                <div class="application_details">
                    <?php echo do_shortcode('[contact-form-7 id="5096" title="Claim This Profile"]'); ?>
                </div>
            </div>                                 
        </div>
    </div>                               
</div>