Finding the Fourth Proportional to 1,463.96, 2,020.23 and 800.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.96 : 2,020.23 = 800.81 : x
2. Step 2: Convert to fraction form
   1,463.96/2,020.23 = 800.81/x
3. Step 3: Cross multiply
   1,463.96x = 2,020.23 × 800.81
4. Step 4: Simplify right side
   1,463.96x = 1,617,810.29
5. Step 5: Solve for x
   x = 1,617,810.29/1,463.96
6. Step 6: Final answer
   x = 1,105.10