Finding the Fourth Proportional to 1,409.46, 1,945.11 and 820.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.46 : 1,945.11 = 820.18 : x
2. Step 2: Convert to fraction form
   1,409.46/1,945.11 = 820.18/x
3. Step 3: Cross multiply
   1,409.46x = 1,945.11 × 820.18
4. Step 4: Simplify right side
   1,409.46x = 1,595,340.32
5. Step 5: Solve for x
   x = 1,595,340.32/1,409.46
6. Step 6: Final answer
   x = 1,131.88