Finding the Fourth Proportional to 1,433.40, 1,978.02 and 843.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.40 : 1,978.02 = 843.82 : x
2. Step 2: Convert to fraction form
   1,433.40/1,978.02 = 843.82/x
3. Step 3: Cross multiply
   1,433.40x = 1,978.02 × 843.82
4. Step 4: Simplify right side
   1,433.40x = 1,669,087.89
5. Step 5: Solve for x
   x = 1,669,087.89/1,433.40
6. Step 6: Final answer
   x = 1,164.43