Finding the Fourth Proportional to 1,464.27, 2,020.74 and 801.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.27 : 2,020.74 = 801.18 : x
2. Step 2: Convert to fraction form
   1,464.27/2,020.74 = 801.18/x
3. Step 3: Cross multiply
   1,464.27x = 2,020.74 × 801.18
4. Step 4: Simplify right side
   1,464.27x = 1,618,973.47
5. Step 5: Solve for x
   x = 1,618,973.47/1,464.27
6. Step 6: Final answer
   x = 1,105.66