Finding the Fourth Proportional to 1,408.63, 1,943.13 and 819.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.63 : 1,943.13 = 819.10 : x
2. Step 2: Convert to fraction form
   1,408.63/1,943.13 = 819.10/x
3. Step 3: Cross multiply
   1,408.63x = 1,943.13 × 819.10
4. Step 4: Simplify right side
   1,408.63x = 1,591,617.78
5. Step 5: Solve for x
   x = 1,591,617.78/1,408.63
6. Step 6: Final answer
   x = 1,129.90