Among all the given numbers,
9,676,582 has the smallest number of digits. So, it will be the smallest number of all.
To compare the rest three numbers, alignment of digits of all the numbers by their corresponding places is shown in figure below.
As per the diagram, while comparing the digits from left to right, digit at Hundreds place in one number disagrees with other two numbers.
∵7>5
The number
87,676,729 will be greatest of remaining three numbers.
In other two numbers, Tens digits differ with one another, so the number with the greater Tens place digit will be greater.
As
87,676,576 has greater Tens digit than
87,676,512,
∴87,676,576>87,676,512.
Therefore, final order will be
87,676,729>87,676,576>87,676,512>9,676,582.