Image courtesy : Saurabh Saxena - https://puratattva.in/ The three hands of Vishnu hold Shankha (conch), Chakra (discus), Padma (lotus). The fourth hand on the bottom left is holding a noose which is partly broken.
Image courtesy : Saurabh Saxena - https://puratattva.in/ The lute, though broken, suggests that the deity here is Saraswati. Other typical attributes of Saraswati here are : the bottom left hand, though partly broken has a scroll. There is the Japamala (the prayer beads) in one of the hands.
Image courtesy : Saurabh Saxena - https://puratattva.in/ Though the maiden here is at times identified as Lakshmi, there are no attributes to confirm that. Also, in the Hoysala temples Lakshmi is usually portrayed as significantly as Vishnu - next to him or sitting on his lap.
Image courtesy : Saurabh Saxena - https://puratattva.in/ From the sculpture, Shankha and Chakra in the upper hands can be clearly identified. The rest of the objects are unclear. This could be form of Ashta-Lakshmi - one of the eight forms of Lakshmi.