Finding the Fourth Proportional to 1,409.47, 1,945.41 and 819.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.47 : 1,945.41 = 819.92 : x
2. Step 2: Convert to fraction form
   1,409.47/1,945.41 = 819.92/x
3. Step 3: Cross multiply
   1,409.47x = 1,945.41 × 819.92
4. Step 4: Simplify right side
   1,409.47x = 1,595,080.57
5. Step 5: Solve for x
   x = 1,595,080.57/1,409.47
6. Step 6: Final answer
   x = 1,131.69