Finding the Fourth Proportional to 1,433.56, 1,978.42 and 804.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.56 : 1,978.42 = 804.16 : x
2. Step 2: Convert to fraction form
   1,433.56/1,978.42 = 804.16/x
3. Step 3: Cross multiply
   1,433.56x = 1,978.42 × 804.16
4. Step 4: Simplify right side
   1,433.56x = 1,590,966.23
5. Step 5: Solve for x
   x = 1,590,966.23/1,433.56
6. Step 6: Final answer
   x = 1,109.80