The integration of human intelligence with Artificial Intelligence (AI) is becoming increasingly essential for leveraging benefits in organizational decision-making. This necessitates to understand human-AI collaboration configurations for managing collaborative intelligence. However, existing literature on Human-AI collaboration lacks structure and is fragmented regarding what exactly human intelligence (HI) contributes to AI collaboration and how AI systems can be configured in the decision-making process. This paper undertakes an organizing literature review to consolidate insights from existing literature. We identify six types of human agency as involved in collaborative intelligence and synthesize the findings into six Human-AI collaborative configurations explained by a matrix framework. By illuminating the complexities of Human-AI collaboration, the framework sheds light on the need for a nuanced understanding of the imbricating roles of HI and AI in decision-making, with important implications for the design and implementation of AI systems for organizational decision-making.