Finding the Fourth Proportional to 1,464.56, 2,021.10 and 801.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464.56 : 2,021.10 = 801.42 : x
2. Step 2: Convert to fraction form
   1,464.56/2,021.10 = 801.42/x
3. Step 3: Cross multiply
   1,464.56x = 2,021.10 × 801.42
4. Step 4: Simplify right side
   1,464.56x = 1,619,749.96
5. Step 5: Solve for x
   x = 1,619,749.96/1,464.56
6. Step 6: Final answer
   x = 1,105.96