To solve this logical reasoning problem, we need to identify the pattern or sequence followed by the letters in the given figure.

Let's analyze the arrangement of letters:

1. The first row has the letters: B, A, D, C.
2. The second row has the letters: A, D, E.
3. The third row has the letters: G, C.
4. The missing letter is in the last row.

Now, let's decode the pattern:

• The sequence of letters in the first row is: B, A, D, C.
• The second row: A, D, E appears to increment by moving one step forward alphabetically from the first row.
• The third row has letters G, C, which suggests a continuation of the sequence.

Consider the following alphabetical progression observations:

• If the first row increases naturally from B, A, D, C, looking at the alphabetical position of these letters: B (2), A (1), D (4), C (3), a potential pattern is that shifts in position add a specific number to transition to the next row.
• Observe the third row's G, C: continuing from the second row's logic, G is positioned 7th in the alphabet, suggesting a major step forward from earlier sequences.

Therefore, going from B, A, D, C (2, 1, 4, 3) and carefully examining potential shifts, we see increments or decrements trying to form subsequent standard letter pairs suitable when seen as a complete progression ending at the correct letter option.

Therefore, applying this pattern, the next logical step brings us to the letter 'J'.

Thus, the correct answer is:

J