Place the arugula in a large bowl and drizzle with 2 Tablespoons balsamic vinegar and 2 Tablespoons olive oil. Toss to coat. Arrange the arugula on a platter.Take the figs and tuck them into the arugula, evenly spacing them throughout the platter. Do the same thing with the prosciutto.Pull apart the burrata into approximately ¼ cup pieces or as desired, and nestle the cheese around the figs and prosciutto.Drizzle the whole platter with a little more oil and vinegar and sprinkle with flaky salt and freshly ground black pepper to taste.