Finding the Fourth Proportional to 1,433.50, 1,978.26 and 804

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.50 : 1,978.26 = 804 : x
2. Step 2: Convert to fraction form
   1,433.50/1,978.26 = 804/x
3. Step 3: Cross multiply
   1,433.50x = 1,978.26 × 804
4. Step 4: Simplify right side
   1,433.50x = 1,590,521.04
5. Step 5: Solve for x
   x = 1,590,521.04/1,433.50
6. Step 6: Final answer
   x = 1,109.54