To solve the equation \( (823190 - 823186) \cdot x + 187621 = 2232121 \), we can simplify and isolate \( x \).
Simplify \( 823190 - 823186 \): \[ 823190 - 823186 = 4 \]
Substitute back into the equation: \[ 4 \cdot x + 187621 = 2232121 \]
Subtract \( 187621 \) from both sides: \[ 4 \cdot x = 2232121 - 187621 \]
Calculate \( 2232121 - 187621 \): \[ 2232121 - 187621 = 2044500 \]
Now, the equation is: \[ 4 \cdot x = 2044500 \]
Divide both sides by 4: \[ x = \frac{2044500}{4} = 511125 \]
Thus, the solution is: \[ \boxed{511125} \]