To add \(8.4 \times 10^5\) and \(4.6 \times 10^6\), we need to express both numbers with the same exponent.
Since \(4.6 \times 10^6\) is already at \(10^6\), we can convert \(8.4 \times 10^5\) to the same exponent:
\[ 8.4 \times 10^5 = 0.084 \times 10^6 \]
Now we can add the two numbers:
\[ 0.084 \times 10^6 + 4.6 \times 10^6 = (0.084 + 4.6) \times 10^6 \]
Calculating \(0.084 + 4.6\):
\[ 0.084 + 4.6 = 4.684 \]
Thus, we have:
\[ 4.684 \times 10^6 \]
Therefore, the result of \(8.4 \times 10^5 + 4.6 \times 10^6\) is:
\[ \boxed{4.684 \times 10^6} \]