Finding the Fourth Proportional to 1,409.21, 1,944.95 and 820.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.21 : 1,944.95 = 820.09 : x
2. Step 2: Convert to fraction form
   1,409.21/1,944.95 = 820.09/x
3. Step 3: Cross multiply
   1,409.21x = 1,944.95 × 820.09
4. Step 4: Simplify right side
   1,409.21x = 1,595,032.38
5. Step 5: Solve for x
   x = 1,595,032.38/1,409.21
6. Step 6: Final answer
   x = 1,131.86