Finding the Fourth Proportional to 1,409, 1,944.72 and 819.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409 : 1,944.72 = 819.86 : x
2. Step 2: Convert to fraction form
   1,409/1,944.72 = 819.86/x
3. Step 3: Cross multiply
   1,409x = 1,944.72 × 819.86
4. Step 4: Simplify right side
   1,409x = 1,594,398.14
5. Step 5: Solve for x
   x = 1,594,398.14/1,409
6. Step 6: Final answer
   x = 1,131.58