Convert from pie [Texas] to astronomical unit

Unit Definition (pie [Texas])
The pie is a traditional foot of Spain. The pie equals 1/3 vara or 12 pulgadas. In Texas, 1/3 vara is 11 1/9 inches or 28.22 centimeters.

Unit Definition (astronomical unit)
An Astronomical Unit is approximately the mean distance between the Earth and the Sun. It is a derived constant and used to indicate distances within the solar system. Its formal definition is the radius of an unperturbed circular orbit a massless body would revolve about the sun in 2*(pi)/k days (i.e., 365.2568983.... days), where k is defined as the Gaussian constant exactly equal to 0.01720209895. Since an AU is based on radius of a circular orbit, one AU is actually slightly less than the average distance between the Earth and the Sun (approximately 150 million km or 93 million miles).