Kardashian West announced the name on her app, later suggesting the little girl already has a nickname. "North, Saint and Chi," she tweeted to her 58.4 million followers -- to be pronounced "Shy" the 37-year-old later clarified.
The couple already have daughter North West, four, and son, Saint, two.
Little Chicago was born via a surrogate on Monday weighing 7.6 pounds (3.3 kilograms).
Kardashian West and West, 40, who married in a lavish ceremony in Italy in May 2014, have been dogged by rumors of trouble in paradise recently amid gossip-press speculation that their marriage is on the rocks.
Kardashian West ranks 47 on Forbes' celebrity 100 ranking of highest-paid entertainers with pretax earnings of $45.5 million.
Celebrity website TMZ said the couple chose a surrogate after Kardashian suffered from a serious condition in which the placenta becomes too deeply attached to the wall of the uterus during her second pregnancy, making a third pregnancy too risky.
TMZ said the couple paid the surrogate $45,000, banning her from smoking, taking drugs, hot baths, dying her hair and eating raw fish during the pregnancy.
Source: AFP
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