Finding the Fourth Proportional to 1,464.64, 2,021.22 and 801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.64 : 2,021.22 = 801.50 : x
2. Step 2: Convert to fraction form
   1,464.64/2,021.22 = 801.50/x
3. Step 3: Cross multiply
   1,464.64x = 2,021.22 × 801.50
4. Step 4: Simplify right side
   1,464.64x = 1,619,997.72
5. Step 5: Solve for x
   x = 1,619,997.72/1,464.64
6. Step 6: Final answer
   x = 1,106.07