In an excellent answer to one of my previous questions, verbose writes:
Since The Tempest is the first play printed in the First Folio, it was often assumed to be an early play. Scholars such as Edmond Malone and Edward Capell began tackling the chronology of Shakespeare's plays in the late 1700s. I have been unable to track down exactly where Malone and Capell placed The Tempest chronologically, as I don't have easy access to a university library and could not find the information online.
Some scholars now assume that The Tempest was printed as the first play in the First Folio because of the quality of the text that the printer could work from. Edmond Malone was the first scholar who tried to establish a chronology of Shakespeare's plays, namely in "An Attempt to Ascertain the Order in Which the Plays Attributed to Shakspeare Were Written", which was included in the first volume of The Plays of William Shakspeare (1778), a revised edition of Samuel Johnson's Shakespeare edition, created on co-operation with George Steevens.
The question is now where Malone put The Tempest in this first chronology. (He seems to have revised his chronology later; this question is specifically about the version published in 1778.)