Finding the Fourth Proportional to 1,433.86, 1,978.20 and 844.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.86 : 1,978.20 = 844.30 : x
2. Step 2: Convert to fraction form
   1,433.86/1,978.20 = 844.30/x
3. Step 3: Cross multiply
   1,433.86x = 1,978.20 × 844.30
4. Step 4: Simplify right side
   1,433.86x = 1,670,194.26
5. Step 5: Solve for x
   x = 1,670,194.26/1,433.86
6. Step 6: Final answer
   x = 1,164.82