Finding the Fourth Proportional to 1,464.41, 2,020.82 and 801.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.41 : 2,020.82 = 801.25 : x
2. Step 2: Convert to fraction form
   1,464.41/2,020.82 = 801.25/x
3. Step 3: Cross multiply
   1,464.41x = 2,020.82 × 801.25
4. Step 4: Simplify right side
   1,464.41x = 1,619,178.98
5. Step 5: Solve for x
   x = 1,619,178.98/1,464.41
6. Step 6: Final answer
   x = 1,105.69