Let \( x \) be the investment for the second year. According to the information given, the total investment over the two years is the sum of the first year's investment and the second year's investment. We can write the equation as follows:
\[ 13205 + x = 22894 \]
To solve for \( x \), we will subtract the first year's investment from the total investment:
\[ x = 22894 - 13205 \]
Now, performing the subtraction:
\[ x = 9689 \]
Thus, the investment for the second year is \( \boxed{9689} \).