Finding the Fourth Proportional to 1,409.56, 1,945.30 and 820.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.56 : 1,945.30 = 820.28 : x
2. Step 2: Convert to fraction form
   1,409.56/1,945.30 = 820.28/x
3. Step 3: Cross multiply
   1,409.56x = 1,945.30 × 820.28
4. Step 4: Simplify right side
   1,409.56x = 1,595,690.68
5. Step 5: Solve for x
   x = 1,595,690.68/1,409.56
6. Step 6: Final answer
   x = 1,132.05