Finding the Fourth Proportional to 1,381.94, 1,907.33 and 822.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.94 : 1,907.33 = 822.61 : x
2. Step 2: Convert to fraction form
   1,381.94/1,907.33 = 822.61/x
3. Step 3: Cross multiply
   1,381.94x = 1,907.33 × 822.61
4. Step 4: Simplify right side
   1,381.94x = 1,568,980.90
5. Step 5: Solve for x
   x = 1,568,980.90/1,381.94
6. Step 6: Final answer
   x = 1,135.34