Answer :
To round the number 14.587020 to a 4 significant digits the answer is 14.59. Just remember to round of numbers you need to check the next digit, for example in the problem, the number next to 8 is 7 which is higher 4 therefore you need to add 1 in 8, in such case that the next digit is 4 or less than you will drop down the rest of the numbers.
The correct answer is 14.59
Since the number must contain four significant digits, two digits are already used before the decimal point i.e. 1 and 4. Now, the number 0.587020 has to be rounded off to two digits only which will be equal to 0.59. Thus, The answer will be 14.59