In this question, we are tasked with identifying the factors associated with cord prolapse during labour. Let's evaluate the given options:

1. Malpresentations: Malpresentations such as breech or transverse lie are known contributors to cord prolapse. This is because there is more space around the presenting part, allowing the umbilical cord to slip past during labor.
2. Contracted pelvis: A contracted pelvis can affect the engagement and descent of the fetal head, increasing the risk for cord prolapse, especially if combined with malpresentation.
3. Stabilizing induction: Induction of labor, especially when the presenting part is not well engaged, may predispose the patient to cord prolapse as the amniotic sac breaks and pressure decreases.
4. Prematurity: Premature infants are typically smaller, and in such cases, more amniotic fluid is present relative to the size of the fetus, which increases the chance of cord prolapse.

Considering all the points, it's clear that all the factors mentioned can contribute to cord prolapse. Therefore, the correct answer is:

I, II, III and IV

Each factor plays a role by creating conditions either in fetal positioning, maternal anatomy, or labor induction methods that allow the umbilical cord to descend into or through the cervix prematurely.