Hi,
Unfortunately, we do not yet have 100% compatibility with multi-currency. This is how the converters work: they overwrite the price via JS on the frontend, but there are no backend hooks. It is possible to use this plugin WOOCS – Currency Switcher for WooCommerce Professional – WordPress plugin | WordPress.org or another currency switcher plugin for WooCommerce. Also, please check WooCommerce documentation or support to find up-to-date information on how to set up multicurrency on your website.
But please note that these changes are for display purposes only; the checkout page will display the primary currency, which is necessary for calculating the commission, etc.