What's needed to thrive in corporate management is a cooperative spirit for carrying out work with many colleagues.
Literal
Corporate-management [at-で] thrive [purpose-ために] necessary [becoming-となる] [nominalizer-の] [focus-が] many colleagues [with-と] work [object-を] carry-out [purpose-ための] cooperative-spirit is.
A formal, somewhat stiff sentence about teamwork. The cleft のが...です identifies the key requirement. 遂行する (carry out/execute) is formal vocabulary. 協調精神 (cooperative spirit) is a Sino-Japanese compound used in business contexts. Two ため constructions appear: one for purpose (活躍するために) and one as pre-nominal (遂行するための).