In what way did the power of Carnegie and Rockefeller lead to Progressive desire to break up trusts in the early 20th century

His successor, William Howard Taft, wanted the courts to break up unlawful monopolies. "Captains of industry" like John D. Rockefeller and J.P. Morgan formed huge  In 1890, Congress passed the first federal antitrust law, the Sherman Act. It  that federal regulation of big business was the best way to tame the trusts.

Explanation:

very positive impact on our industries in the west, sine they promoted settlement and increased the ways in which goods could be transported to market.