Let's solve the expression step by step following the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
The given expression is:
\[ 1 + 2.42 \cdot 5 - (2.4 + 3.6) : 1.2 \]
Calculate the parentheses: \[ 2.4 + 3.6 = 6 \]
Rewrite the expression: \[ 1 + 2.42 \cdot 5 - 6 : 1.2 \]
Calculate the multiplication: \[ 2.42 \cdot 5 = 12.1 \]
Rewrite the expression: \[ 1 + 12.1 - 6 : 1.2 \]
Calculate the division: \[ 6 : 1.2 = 5 \]
Rewrite the expression: \[ 1 + 12.1 - 5 \]
Calculate \(1 + 12.1\): \[ 1 + 12.1 = 13.1 \]
Finally, subtract: \[ 13.1 - 5 = 8.1 \]
So, the final result is:
\[ \boxed{8.1} \]