Finding the Fourth Proportional to 1,408.96, 1,944.34 and 819.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.96 : 1,944.34 = 819.82 : x
2. Step 2: Convert to fraction form
   1,408.96/1,944.34 = 819.82/x
3. Step 3: Cross multiply
   1,408.96x = 1,944.34 × 819.82
4. Step 4: Simplify right side
   1,408.96x = 1,594,008.82
5. Step 5: Solve for x
   x = 1,594,008.82/1,408.96
6. Step 6: Final answer
   x = 1,131.34