Finding the Fourth Proportional to 1,382.99, 1,908.12 and 823.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.99 : 1,908.12 = 823.18 : x
2. Step 2: Convert to fraction form
   1,382.99/1,908.12 = 823.18/x
3. Step 3: Cross multiply
   1,382.99x = 1,908.12 × 823.18
4. Step 4: Simplify right side
   1,382.99x = 1,570,712.57
5. Step 5: Solve for x
   x = 1,570,712.57/1,382.99
6. Step 6: Final answer
   x = 1,135.74