A more thorough explanation:

propter quod fecerunt per alium (prop-tər kwod fi-see-rənt pər ay-lee-əm). [Law Latin] Historically, this phrase refers to the actions of an agent. It means "on account of what they have done by another."

• Example 1: A company hires a contractor to build a new office building. If the contractor causes damage to a neighboring property while working on the project, the company may be held liable propter quod fecerunt per alium because the contractor was acting on their behalf.
• Example 2: A person hires a dog walker to take their dog for a walk. If the dog bites someone while on the walk, the owner may be held liable propter quod fecerunt per alium because the dog walker was acting as their agent.

These examples illustrate how the phrase propter quod fecerunt per alium is used to hold someone responsible for the actions of another person or entity acting on their behalf. In both cases, the person or company who hired the agent is held accountable for any harm caused by the agent's actions.