Finding the Fourth Proportional to 1,433.52, 1,978.20 and 804

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.52 : 1,978.20 = 804 : x
2. Step 2: Convert to fraction form
   1,433.52/1,978.20 = 804/x
3. Step 3: Cross multiply
   1,433.52x = 1,978.20 × 804
4. Step 4: Simplify right side
   1,433.52x = 1,590,472.80
5. Step 5: Solve for x
   x = 1,590,472.80/1,433.52
6. Step 6: Final answer
   x = 1,109.49