Speaking afterwards, he said the family is offering Kim unconditional support during a difficult time.
“Obviously she’s going through a lot right now, but she has her family and we’re very supportive of everything she does and every decision that she makes,” he told PEOPLE after the taping, as he stood arm in arm with partner Cheryl Burke.
Rob also had family encouragement on Monday – sister Kourtney was in the ballroom with her 22-month-old son, Mason, and boyfriend, Scott Disick, cheering him on from the audience, as did stepfather Bruce Jenner.
On their blogs, sisters Kourtney and Khloé also offered words of support to their sister.
Kourtney said, “Our sister is going through a difficult time but we’re a close family and are sticking together like always. Kim, we love you. We appreciate everyone s kindness and support.”
Khloé added: I just want to thank all of our amazing fans for your unconditional love and support. My sister is going through a very difficult time and your kindness right now means the world to all of us. Kim, we love you more than anything.”