Finding the Fourth Proportional to 1,464.33, 2,020.80 and 801.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.33 : 2,020.80 = 801.22 : x
2. Step 2: Convert to fraction form
   1,464.33/2,020.80 = 801.22/x
3. Step 3: Cross multiply
   1,464.33x = 2,020.80 × 801.22
4. Step 4: Simplify right side
   1,464.33x = 1,619,105.38
5. Step 5: Solve for x
   x = 1,619,105.38/1,464.33
6. Step 6: Final answer
   x = 1,105.70