7. (10 points) The calculation result of the expression $1007 \times \frac{1 \frac{3}{4} \div \frac{3}{4}+3 \div 2 \frac{1}{4}+\frac{1}{3}}{(1+2+3+4+5) \times 5-22} \div 19$ is
【Analysis】First, convert the mixed number above into an improper fraction, factorize 1007 into $19 \times 53$, and then simplify and perform the operations.
【Solution】Solution: According to the analysis
$$
\begin{array}{l}
1007 \times \frac{1 \frac{3}{4} \div \frac{3}{4}+3 \div 2 \frac{1}{4}+\frac{1}{3}}{(1+2+3+4+5) \times 5-22} \div 19 \\
=1007 \times \frac{\frac{7}{4} \times \frac{4}{3}+3 \times \frac{4}{9}+\frac{1}{3}}{15 \times 5-22} \times \frac{1}{19} \\
=1007 \times \frac{\frac{7}{3}+\frac{4}{3}+\frac{1}{3}}{75-22} \times \frac{1}{19} \\
=19 \times 53 \times \frac{\frac{12}{3}}{53} \times \frac{1}{19} \\
=19 \times \frac{1}{19} \times 53 \times \frac{4}{53} \\
=1 \times 4 \\
=4
\end{array}
$$

Therefore, the answer is: 4