Finding the Fourth Proportional to 1,409.16, 1,944.46 and 819.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.16 : 1,944.46 = 819.78 : x
2. Step 2: Convert to fraction form
   1,409.16/1,944.46 = 819.78/x
3. Step 3: Cross multiply
   1,409.16x = 1,944.46 × 819.78
4. Step 4: Simplify right side
   1,409.16x = 1,594,029.42
5. Step 5: Solve for x
   x = 1,594,029.42/1,409.16
6. Step 6: Final answer
   x = 1,131.19