Find a value of $s$ in the interval $\left[0, \frac{\pi}{2}\right]$ that satisfies the \[ \mathrm{s}= \] given statement. (Round to four decimal places as needed.) \[ \csc s=1.4261 \]

Step 1 ：The given statement is \(\csc s = 1.4261\).

Step 2 ：The cosecant function is defined as the reciprocal of the sine function. Therefore, to find the value of \(s\), we need to find the angle whose sine is the reciprocal of 1.4261.

Step 3 ：We can use the arcsine function to find this angle. However, we need to make sure that the value we get is in the interval \(\left[0, \frac{\pi}{2}\right]\).

Step 4 ：So, \(\sin s = \frac{1}{1.4261} = 0.701213098660683\).

Step 5 ：Therefore, \(s = \arcsin(0.701213098660683) = 0.7771\).

Step 6 ：Final Answer: The value of \(s\) that satisfies the given statement in the interval \(\left[0, \frac{\pi}{2}\right]\) is \(\boxed{0.7771}\).