Explanation:

- The sentence given points out that traditional methods do not fit well in a technical age.

- Incongruous generally means something that does not seem in harmony or consistent with surroundings.

- Let's look at the options:

- Unswerving: Means consistent or steadfast, which doesn't fit the context of being unfitting.

- Constant: Suggests something that doesn't change, not necessarily related to fitting or not fitting.

- Unvarying: This is similar to constant; it means something that does not change or vary.

- Inappropriate: Means not suitable or fitting, which aligns well with the meaning of incongruous.

- Thus, the most accurate synonym for incongruous in this context is inappropriate.

Option 4: Inappropriate