Finding the Fourth Proportional to 1,409.09, 1,945.03 and 820.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.09 : 1,945.03 = 820.12 : x
2. Step 2: Convert to fraction form
   1,409.09/1,945.03 = 820.12/x
3. Step 3: Cross multiply
   1,409.09x = 1,945.03 × 820.12
4. Step 4: Simplify right side
   1,409.09x = 1,595,160.82
5. Step 5: Solve for x
   x = 1,595,160.82/1,409.09
6. Step 6: Final answer
   x = 1,132.05