Finding the Fourth Proportional to 1,433.28, 1,977.12 and 843.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.28 : 1,977.12 = 843.78 : x
2. Step 2: Convert to fraction form
   1,433.28/1,977.12 = 843.78/x
3. Step 3: Cross multiply
   1,433.28x = 1,977.12 × 843.78
4. Step 4: Simplify right side
   1,433.28x = 1,668,254.31
5. Step 5: Solve for x
   x = 1,668,254.31/1,433.28
6. Step 6: Final answer
   x = 1,163.94