Finding the Fourth Proportional to 1,382.37, 1,907.62 and 822.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.37 : 1,907.62 = 822.71 : x
2. Step 2: Convert to fraction form
   1,382.37/1,907.62 = 822.71/x
3. Step 3: Cross multiply
   1,382.37x = 1,907.62 × 822.71
4. Step 4: Simplify right side
   1,382.37x = 1,569,410.03
5. Step 5: Solve for x
   x = 1,569,410.03/1,382.37
6. Step 6: Final answer
   x = 1,135.31