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How does the output value of step 1 result in the value of "0.582"?

I am looking at an example of the usage of backpropagation in order to have a basic understanding of it. However I fail to understand how the value "0.582" is formed as the output for the example below.

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EDIT:

I have attempted Feed-Forward, which has resulted in having the output value of "0.5835...".

Now I am unsure if the example above output value is correct or whether the method I have used is correct.

EDIT2:

My FF Calculation

f(x) = 1/1+e^-x

. >

NodeJ = f( 1*W1j+0.4*W2j+0.7*W3j )

NodeJ = f( 1(0.2)+0.4(0.3)+0.7(-0.1) ) = f(0.25)

NodeJ = 1/(1+e^-0.25) = 0.562...

.

NodeI = f( 1*W1i+0.4*W2i+0.7*W3i )

NodeI = f( 1(0.1)+0.4(-0.1)+0.7(0.2) ) = f(0.25)

NodeI = 1/(1+e^-0.25) = 0.562...

.

NodeK = f( NodeJ * Wjk + NodeI * Wik)

NodeK = f( 0.562(0.1)+0.562(0.5)) = f(0.3372)

NodeK = 1/(1+e^-0.3372) = 0.5835

Output = 0.5835

Has QUIT--Anony-Mousse
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