Finding the Fourth Proportional to 1,433.23, 1,978.02 and 843.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,433.23 : 1,978.02 = 843.75 : x
2. Step 2: Convert to fraction form
   1,433.23/1,978.02 = 843.75/x
3. Step 3: Cross multiply
   1,433.23x = 1,978.02 × 843.75
4. Step 4: Simplify right side
   1,433.23x = 1,668,954.38
5. Step 5: Solve for x
   x = 1,668,954.38/1,433.23
6. Step 6: Final answer
   x = 1,164.47