Finding the Fourth Proportional to 1,382.46, 1,907.46 and 822.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.46 : 1,907.46 = 822.57 : x
2. Step 2: Convert to fraction form
   1,382.46/1,907.46 = 822.57/x
3. Step 3: Cross multiply
   1,382.46x = 1,907.46 × 822.57
4. Step 4: Simplify right side
   1,382.46x = 1,569,019.37
5. Step 5: Solve for x
   x = 1,569,019.37/1,382.46
6. Step 6: Final answer
   x = 1,134.95