Finding the Fourth Proportional to 1,464.38, 2,020.82 and 801.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.38 : 2,020.82 = 801.20 : x
2. Step 2: Convert to fraction form
   1,464.38/2,020.82 = 801.20/x
3. Step 3: Cross multiply
   1,464.38x = 2,020.82 × 801.20
4. Step 4: Simplify right side
   1,464.38x = 1,619,066.87
5. Step 5: Solve for x
   x = 1,619,066.87/1,464.38
6. Step 6: Final answer
   x = 1,105.64