Yes, 4.78 is a rational number because it can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero. In this case, 4.78 can be written as 478/100, which simplifies to 239/50. Since both 239 and 50 are integers and 50 is not zero, 4.78 is indeed a rational number.
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It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
Yes. Any rational number divided by another rational number is also rational.