Finding the Fourth Proportional to 1,464.34, 2,020.78 and 801.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.34 : 2,020.78 = 801.19 : x
2. Step 2: Convert to fraction form
   1,464.34/2,020.78 = 801.19/x
3. Step 3: Cross multiply
   1,464.34x = 2,020.78 × 801.19
4. Step 4: Simplify right side
   1,464.34x = 1,619,028.73
5. Step 5: Solve for x
   x = 1,619,028.73/1,464.34
6. Step 6: Final answer
   x = 1,105.64