Finding the Fourth Proportional to 1,433.82, 1,978.78 and 804.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.82 : 1,978.78 = 804.35 : x
2. Step 2: Convert to fraction form
   1,433.82/1,978.78 = 804.35/x
3. Step 3: Cross multiply
   1,433.82x = 1,978.78 × 804.35
4. Step 4: Simplify right side
   1,433.82x = 1,591,631.69
5. Step 5: Solve for x
   x = 1,591,631.69/1,433.82
6. Step 6: Final answer
   x = 1,110.06