how are the loose ends?

Raina explains that she is no longer engaged to Sergius, as he loves Louka. Sergius kisses Louka’s hand, committing himself to marry her. Louka’s original fiancé Nicola gracefully bows out. Bluntschli follows Sergius’ lead and asks for Raina’s hand. The Captain’s new inheritance - a successful chain of hotels - persuades Major Petkoff to agree to the marriage. Bluntschli leaves to take care of his father’s estate with promises to return in a fortnight.