Finding the Fourth Proportional to 1,409.38, 1,945.20 and 819.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.38 : 1,945.20 = 819.94 : x
2. Step 2: Convert to fraction form
   1,409.38/1,945.20 = 819.94/x
3. Step 3: Cross multiply
   1,409.38x = 1,945.20 × 819.94
4. Step 4: Simplify right side
   1,409.38x = 1,594,947.29
5. Step 5: Solve for x
   x = 1,594,947.29/1,409.38
6. Step 6: Final answer
   x = 1,131.67