Answer:
[tex]\boxed{19\frac{19}{28}}[/tex]
Step-by-step explanation:
[tex]\begin{array}{lcll}4\frac{3}{4} \times 4\frac{1}{7} & = & \dfrac{19}{4} \times \dfrac{29}{7} & \text{Converted the mixed numbers to improper fractions}\\\\& = & \dfrac{551}{28}& \text{Multiplied numerators and denominators}\\\\& = &\mathbf{19\frac{19}{28}} & \text{Converted the fraction to a mixed number }\\\end{array}\\\text{The product of the two numbers is \boxed{\mathbf{19\frac{19}{28}}}}[/tex]