Logistic Curve-Fitting and Parameter Estimation of a Specific Logistic Function

Hi, I would like to fit my data to a specific logistic function and estimate the values of each parameter in said logistic function.

DATA:

x = [0 1 1.5 1.6 1.8 2 2.25 2.3 2.4 2.55 2.61 2.7 2.75 2.8 2.9 2.94 3 3.1 3.15 3.2 3.3 3.45 3.5 3.55 3.6 3.7 3.8 3.88 3.96 4 4.1 4.3 4.6 5]

y = [0.17 0.2 0.99 1.56 3.55 4.52 11.14 13.27 16 22.65 25.3 29.57 31.65 33.91 39.13 40.6 42.55 45.12 46.31 47.18 48.63 50.04 50.34 50.55 50.72 50.93 51.04 51.1 51.13 51.14 51.16 51.17 51.18 51.18]

LOGISTIC FUNCTION:

1/(A+B*exp(-C*x))

PARAMETERS:

A, B, C

---Also, based on curve-fitting with LoggerPro and CurveExpert Professional, the values of the parameters should come out to equal:

A = 0.01934, B = 368.1, C = 3.775

Any advice, tips, or ideas would be very helpful; also, I don't have the curve-fitting toolbox.