Finding the Fourth Proportional to 1,409.71, 1,945.52 and 820.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.71 : 1,945.52 = 820.43 : x
2. Step 2: Convert to fraction form
   1,409.71/1,945.52 = 820.43/x
3. Step 3: Cross multiply
   1,409.71x = 1,945.52 × 820.43
4. Step 4: Simplify right side
   1,409.71x = 1,596,162.97
5. Step 5: Solve for x
   x = 1,596,162.97/1,409.71
6. Step 6: Final answer
   x = 1,132.26