The phrase "a prodigious feat of" is correct and usable in written English.
It can be used to describe an impressive or extraordinary achievement in various contexts, such as sports, art, or science.
Example: "The construction of the Great Wall of China is considered a prodigious feat of engineering and determination."
Alternatives: "an extraordinary achievement of" or "an impressive accomplishment of".
It will require a prodigious feat of managerial wizardry to pull that off.
By a prodigious feat of research, Emma Rothschild unearthed a treasure-trove of documentary evidence about them.
It is probably fitting that a piece celebrating hard work should itself be a prodigious feat of labor.
This Woodhouse accomplished after a prodigious feat of high-speed walking, sometimes for 15 hours at a stretch across rugged mountains.
Though his performance was, among many things, a prodigious feat of memory, that is not the way to think of it.
Vikram Seth's massive novel about India after independence, A Suitable Boy (1993), is a prodigious feat of realism, resembling 19th-century masterpieces in its combination of social breadth and emotional and psychological depth.
Sixteen albums in six years would be a prodigious feat for an artist who was still breathing, particularly when you bear in mind that many of them are double CD sets.
It was a work that occupied Neihardt for 29 years, during which time he produced 505 pages of rhymed iambic pentameter, a prodigious feat considering that very few of the couplets betray forced or awkward rhyming partners.
On June 26 , 2000 two scientific teams announced at the White House that they had deciphered virtually the entire human genome, a prodigious feat that involved determining the exact sequence of chemical units in human genetic material.
Language acquisition is a prodigious feat that requires abstracting rules for the use of sounds, words, grammar, and appropriate ways to convey desired meaning in a variety of social contexts.
It's also beautiful, and achieving that unlikely balance is a prodigious feat.
