To solve for \( c \) in the equation
\[ 8.67 = 2.89(c + 1), \]
we can start by dividing both sides by \( 2.89 \):
\[ \frac{8.67}{2.89} = c + 1. \]
Next, we calculate \( \frac{8.67}{2.89} \):
\[ \frac{8.67}{2.89} \approx 3. \]
Now we have:
\[ 3 = c + 1. \]
To isolate \( c \), we subtract 1 from both sides:
\[ c = 3 - 1, \]
which simplifies to
\[ c = 2. \]
Thus, the solution for \( c \) is
\[ \boxed{2}. \]