Ibn Abbas (may Allah be pleased with them both) narrated from Fadl bin Abbas (may Allah be pleased with him) that a woman from the tribe of Khath'am said to the Messenger of Allah (ﷺ): "Allah's obligation of Hajj has reached my father while he is very old and cannot sit on the back of his camel." The Prophet (ﷺ) said: "Perform Hajj on his behalf."
Hadith Referenceمسند الإمام الشافعي / كتاب الحج / 930
Hadith Takhrijاخرجه البخاري، الحج، باب وجوب الحج وفضله..... الخ (1513) ، (1855) ۔ ومسلم، الحج، باب الحج عن العاجز لزمانة وهرم ونحوهما أو للموت (1334)۔