Finding the Fourth Proportional to 1,409.82, 1,945.72 and 820.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.82 : 1,945.72 = 820.36 : x
2. Step 2: Convert to fraction form
   1,409.82/1,945.72 = 820.36/x
3. Step 3: Cross multiply
   1,409.82x = 1,945.72 × 820.36
4. Step 4: Simplify right side
   1,409.82x = 1,596,183.37
5. Step 5: Solve for x
   x = 1,596,183.37/1,409.82
6. Step 6: Final answer
   x = 1,132.19