I was just informed that there is a yoga class every Monday night at the South American Explorers Club in Quito (Jorge Washington y Leonidad Plaza) taught by SAE member, Dana. Apparently she teaches in the Iyengar style which is known for great attention to detail, precise alignment, and often uses props. Classes are $3 for members, $4 for non-members and beginners and intermediates are invited. You are asked to bring your yoga mat or a towel. More information here.