Final answer:
Economic status is Kottak's identified key factor determining an individual's power and prestige in a state, as it influences state and international relations as well as political order.
Step-by-step explanation:
According to anthropologist Conrad Kottak, the most important factor in determining an individual's power and prestige in a state is their economic status or wealth. As Kottak explains, economic power enables a state to create and maintain mutually beneficial trade relationships with other states, solidifying its status as an economic power. This primarily shapes the political order and upholds the political actor's ability to influence or support other governments, even leading to altering the dynamics of social groups and organizations. Furthermore, economic prosperity and stability are considered significant determinants of a state's capability, affecting its sovereignty and power projection.