Finding the Fourth Proportional to 1,382.32, 1,906.75 and 822.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.32 : 1,906.75 = 822.41 : x
2. Step 2: Convert to fraction form
   1,382.32/1,906.75 = 822.41/x
3. Step 3: Cross multiply
   1,382.32x = 1,906.75 × 822.41
4. Step 4: Simplify right side
   1,382.32x = 1,568,130.27
5. Step 5: Solve for x
   x = 1,568,130.27/1,382.32
6. Step 6: Final answer
   x = 1,134.42