This error can occur if you’re using WordPress on an external web site.
WordPress recommend using the following code;
<?php /* Short and sweet */ define('WP_USE_THEMES', false); require('./wp-blog-header.php'); ?>
However. To fix your NetworkError: 404 Not Found error try using the following code;
<?php /* Short and sweet */ define('WP_USE_THEMES', false); require('./wp-load.php'); ?>