Finding the Fourth Proportional to 1,382.50, 1,908.25 and 823.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.50 : 1,908.25 = 823.36 : x
2. Step 2: Convert to fraction form
   1,382.50/1,908.25 = 823.36/x
3. Step 3: Cross multiply
   1,382.50x = 1,908.25 × 823.36
4. Step 4: Simplify right side
   1,382.50x = 1,571,176.72
5. Step 5: Solve for x
   x = 1,571,176.72/1,382.50
6. Step 6: Final answer
   x = 1,136.48