Need help with Cross Currency Question

Question

A New Zealand traveler returned from Singapore with SGD7,500 (Singapore dollars). A foreign exchange dealer provided the traveler with the following quotes:

USD: US dollar; NZD: New Zealand dollar

The amount of New Zealand dollars (NZD) that the traveler would receive for his Singapore dollars is closest to:

1. NZD7,248.
2. NZD4,565.
3. NZD7,761.

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My answer

1 NZD to 0.7670 USD –> 1 USD to 1.303781 NZD

And 1 USD to 1.26 SGD

So, 1.26 SGD to 1.303781 NZD  –> 1 SGD to 1.034747 NZD

Since the traveler has SGD 7,500.00 in his pocket, he will received (1.034747 x 7,500.00 = 7,760.61) NZD.

I chose answer 3.

But it’s incorrect and the answer should be 1.

Could anybody please help me on where did I gone wrong?

Thank you!