The value of x is approximately $217.53.
To calculate the missing value x, we can use the following relationship:
![\[ \text{Payment} = \text{Interest} + x \]](https://img.qammunity.org/2024/formulas/mathematics/college/swiaubpselxvqo3hs24t2dauscn7bqzx34.png)
From the information given, we know:
![\[\text{Payment} = 966.45\]](https://img.qammunity.org/2024/formulas/mathematics/college/gy33095qhj0nvnxpnlhkju7k10qf7m2qrh.png)
![\[\text{Interest} = 748.92\]](https://img.qammunity.org/2024/formulas/mathematics/college/oqcyf4gvk0l2zh4ri73ufyjnnuzxotvskn.png)
Now, plug these values into the equation:
966.45 = 748.92 + x
Now, solve for x:
x = 966.45 - 748.92
![\[x \approx 217.53\]](https://img.qammunity.org/2024/formulas/mathematics/college/aibjleggcxtgcrq2mc6704c7nu82ndiopr.png)
So, the value of x is approximately $217.53.