Finding the Fourth Proportional to 1,433.16, 1,977.66 and 843.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.16 : 1,977.66 = 843.72 : x
2. Step 2: Convert to fraction form
   1,433.16/1,977.66 = 843.72/x
3. Step 3: Cross multiply
   1,433.16x = 1,977.66 × 843.72
4. Step 4: Simplify right side
   1,433.16x = 1,668,591.30
5. Step 5: Solve for x
   x = 1,668,591.30/1,433.16
6. Step 6: Final answer
   x = 1,164.27