Finding the Fourth Proportional to 1,409.32, 1,945.17 and 820.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.32 : 1,945.17 = 820.20 : x
2. Step 2: Convert to fraction form
   1,409.32/1,945.17 = 820.20/x
3. Step 3: Cross multiply
   1,409.32x = 1,945.17 × 820.20
4. Step 4: Simplify right side
   1,409.32x = 1,595,428.43
5. Step 5: Solve for x
   x = 1,595,428.43/1,409.32
6. Step 6: Final answer
   x = 1,132.06