Let's solve the given expression step-by-step to find the result:
[tex]\[ 123 + 4 \times 123 + 277 \][/tex]
1. First, calculate the multiplication:
[tex]\[ 4 \times 123 = 492 \][/tex]
2. Next, add the initial value 123 to the multiplication result:
[tex]\[ 123 + 492 = 615 \][/tex]
3. Finally, add the remaining term 277 to the previous result:
[tex]\[ 615 + 277 = 892 \][/tex]
Thus, the value of the expression [tex]\( 123 + 4 \times 123 + 277 \)[/tex] is [tex]\(\boxed{892}\)[/tex].