I need help solving and explaining this problem. Please don't use excel please show me using the exponential smoothing formula. Just part C of this problem. Please explain starting from September 21 to October 5. I got 372 for September 28 but the right answer was 372.16.Please help.

Thank you

378 September 21 September 28 October 5 368 374 - a) The forecasted demand for the week of October 12 using a 3-week moving average 373.33 pints (round your response to two decimal places). b) Using a 3-week weighted moving average, with weights of 0.10, 0.35, and 0.55, using 0.55 for the most recent week, the forecasted demand for the week of October 12 = 372.30 pints (round your response to two decimal places and remember to use the weights in appropriate order the largest weight applies to most recent period and smallest weight applies to oldest period.) c) If the forecasted demand for the week of August 31 is 360 and a = 0.20, using exponential smoothing, develop the forecast for each of the weeks with the known demand and the forecast for the week of October 12 (round your responses to two decimal places). Week Of Pints Used Forecast for this Date 360 360 August 31 September 7 September 14 September 21 370 412 360.00 362.00 378 372.16 September 28 368 373.2 October 5 374