Finding the Fourth Proportional to 1,284.82, 1,923.72 and 820.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,284.82 : 1,923.72 = 820.08 : x
2. Step 2: Convert to fraction form
   1,284.82/1,923.72 = 820.08/x
3. Step 3: Cross multiply
   1,284.82x = 1,923.72 × 820.08
4. Step 4: Simplify right side
   1,284.82x = 1,577,604.30
5. Step 5: Solve for x
   x = 1,577,604.30/1,284.82
6. Step 6: Final answer
   x = 1,227.88