Let's roll up our sleeves and solve this. We have 274 and we're going to multiply it by 17, essentially adding 274 to itself 17 times.
Step 1: 0 + 274 = 274
Step 2: 274 + 274 = 548
Step 3: 548 + 274 = 822
Step 4: 822 + 274 = 1096
Step 5: 1096 + 274 = 1370
Step 6: 1370 + 274 = 1644
Step 7: 1644 + 274 = 1918
Step 8: 1918 + 274 = 2192
Step 9: 2192 + 274 = 2466
Step 10: 2466 + 274 = 2740
Step 11: 2740 + 274 = 3014
Step 12: 3014 + 274 = 3288
Step 13: 3288 + 274 = 3562
Step 14: 3562 + 274 = 3836
Step 15: 3836 + 274 = 4110
Step 16: 4110 + 274 = 4384
Step 17: 4384 + 274 = 4658

So, 274*17 = 4658