Finding the Fourth Proportional to 1,433.60, 1,978.40 and 844.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.60 : 1,978.40 = 844.02 : x
2. Step 2: Convert to fraction form
   1,433.60/1,978.40 = 844.02/x
3. Step 3: Cross multiply
   1,433.60x = 1,978.40 × 844.02
4. Step 4: Simplify right side
   1,433.60x = 1,669,809.17
5. Step 5: Solve for x
   x = 1,669,809.17/1,433.60
6. Step 6: Final answer
   x = 1,164.77