There is no style manual in American or British English that would suggest that the following punctuation is correct. A person needs to merely read any book or periodical from a reputable publisher for plenty of examples. The following is a quote from this site:
The words in bold are in the objective case. In English, only pronouns (words like "I", "he", "her", etc.) change in the objective case. For example: "I" changes to "me", and "he" changes to "him".)
While the information that is being discussed is correct, all of the commas and the last period are in the wrong place. All should be before the closing quotation marks.