Finding the Fourth Proportional to 1,433.45, 1,978.16 and 804.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.45 : 1,978.16 = 804.02 : x
2. Step 2: Convert to fraction form
   1,433.45/1,978.16 = 804.02/x
3. Step 3: Cross multiply
   1,433.45x = 1,978.16 × 804.02
4. Step 4: Simplify right side
   1,433.45x = 1,590,466.29
5. Step 5: Solve for x
   x = 1,590,466.29/1,433.45
6. Step 6: Final answer
   x = 1,109.54