The value of the multiplication 3.124 x 4.576 correct to three significant figures is

The correct option is 14.3.

To find the correct value, we first perform the multiplication of the two given numbers:

$3.124\times 4.576=14.295424$

Next, we round the product, 14.295424, to three significant figures.

Significant figures are counted starting from the first non-zero digit on the left:
- The first significant figure is 1.
- The second significant figure is 4.
- The third significant figure is 2.

To round to three significant figures, we look at the digit to the right of the third significant figure (the fourth digit), which is 9.

Since this digit (9) is greater than or equal to 5, we round up the preceding digit (2) by 1.

Thus, 14.295424 rounded to three significant figures is:

$14.3$