Finding the Fourth Proportional to 1,433.68, 1,978.58 and 804.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.68 : 1,978.58 = 804.22 : x
2. Step 2: Convert to fraction form
   1,433.68/1,978.58 = 804.22/x
3. Step 3: Cross multiply
   1,433.68x = 1,978.58 × 804.22
4. Step 4: Simplify right side
   1,433.68x = 1,591,213.61
5. Step 5: Solve for x
   x = 1,591,213.61/1,433.68
6. Step 6: Final answer
   x = 1,109.88