Finding the Fourth Proportional to 1,433.88, 1,978.38 and 844.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.88 : 1,978.38 = 844.20 : x
2. Step 2: Convert to fraction form
   1,433.88/1,978.38 = 844.20/x
3. Step 3: Cross multiply
   1,433.88x = 1,978.38 × 844.20
4. Step 4: Simplify right side
   1,433.88x = 1,670,148.40
5. Step 5: Solve for x
   x = 1,670,148.40/1,433.88
6. Step 6: Final answer
   x = 1,164.78