1. The problem asks us to compare the two whole numbers: 6,779 and 6,778. 2. To compare whole numbers, we look at their digits from left to right. 3. Both numbers have the same thousands, hundreds, and tens digits: 6, 7, and 7 respectively. 4. The difference is in the ones place: 9 in 6,779 and 8 in 6,778. 5. Since 9 is greater than 8, 6,779 is greater than 6,778. 6. Therefore, the correct symbol to place in the box is $>$ (greater than).