JSFiddle - React, Tailwind, and code Playground

HTML

<div id="viewport">
        <ul>
            <li>
                <img src="http://www.digital-photography-school.com/wp-content/uploads/2007/11/flower.jpg" />
            </li>
            <li>
                <img src="http://media2.teenormous.com/items/www.uneetee.com/product_images-d-775-HiddenAnimals__39659_std.jpg" />
            </li>
            <li>
                <img src="http://media1.teenormous.com/items/media.80stees.com/images-products-Ladies-Slim-Fit-Animal-Shirt.jpg" />
            </li>
            <li>
                <img src="http://astorenet.com/wp-content/uploads/2011/04/wpid-67-petrol-rc-car.jpg" />
            </li>
        </ul>
    </div>

    <div id="nav">
        <ul>
            <li>
                <img src="http://www.digital-photography-school.com/wp-content/uploads/2007/11/flower.jpg" />
            </li>
            <li>
                <img src="http://media2.teenormous.com/items/www.uneetee.com/product_images-d-775-HiddenAnimals__39659_std.jpg" />
            </li>
            <li>
                <img src="http://media1.teenormous.com/items/media.80stees.com/images-products-Ladies-Slim-Fit-Animal-Shirt.jpg" />
            </li>
            <li>
                <img src="http://astorenet.com/wp-content/uploads/2011/04/wpid-67-petrol-rc-car.jpg" />
            </li>
        </ul>
    </div>

CSS

#viewport {
    width:350px;
    height:350px;
    overflow:hidden;
    margin-bottom:10px;
    border:1px solid #000;
}

#nav {
    width:350px;
    height:40px;
}

#viewport ul {
    padding:0;
    margin:0;
    width:1400px; /* 350px per photo * 4 photos*/
    position:relative;
}

#viewport img {
    width:350px;
    height:350px;
}

#nav img {
    width:40px;
    height:40px;
    cursor:pointer;
}

li {
    float:left;
}

JavaScript

$('#nav li').click(function(){
    var _this = $(this);
    $('#viewport ul').animate({
        left: -1* _this.index() * $('#viewport ul li').eq(_this.index()).children('img').width()
    },500);
});