Finding the Fourth Proportional to 1,464.83, 2,021.41 and 801.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.83 : 2,021.41 = 801.71 : x
2. Step 2: Convert to fraction form
   1,464.83/2,021.41 = 801.71/x
3. Step 3: Cross multiply
   1,464.83x = 2,021.41 × 801.71
4. Step 4: Simplify right side
   1,464.83x = 1,620,584.61
5. Step 5: Solve for x
   x = 1,620,584.61/1,464.83
6. Step 6: Final answer
   x = 1,106.33