Finding the Fourth Proportional to 1,408.38, 1,943.76 and 819.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.38 : 1,943.76 = 819.24 : x
2. Step 2: Convert to fraction form
   1,408.38/1,943.76 = 819.24/x
3. Step 3: Cross multiply
   1,408.38x = 1,943.76 × 819.24
4. Step 4: Simplify right side
   1,408.38x = 1,592,401.73
5. Step 5: Solve for x
   x = 1,592,401.73/1,408.38
6. Step 6: Final answer
   x = 1,130.66