Finding the Fourth Proportional to 1,383.76, 1,908.72 and 823.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.76 : 1,908.72 = 823.83 : x
2. Step 2: Convert to fraction form
   1,383.76/1,908.72 = 823.83/x
3. Step 3: Cross multiply
   1,383.76x = 1,908.72 × 823.83
4. Step 4: Simplify right side
   1,383.76x = 1,572,460.80
5. Step 5: Solve for x
   x = 1,572,460.80/1,383.76
6. Step 6: Final answer
   x = 1,136.37