Finding the Fourth Proportional to 1,433.86, 1,978.61 and 804.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.86 : 1,978.61 = 804.30 : x
2. Step 2: Convert to fraction form
   1,433.86/1,978.61 = 804.30/x
3. Step 3: Cross multiply
   1,433.86x = 1,978.61 × 804.30
4. Step 4: Simplify right side
   1,433.86x = 1,591,396.02
5. Step 5: Solve for x
   x = 1,591,396.02/1,433.86
6. Step 6: Final answer
   x = 1,109.87