Finding the Fourth Proportional to 1,463.88, 2,020.12 and 800.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.88 : 2,020.12 = 800.69 : x
2. Step 2: Convert to fraction form
   1,463.88/2,020.12 = 800.69/x
3. Step 3: Cross multiply
   1,463.88x = 2,020.12 × 800.69
4. Step 4: Simplify right side
   1,463.88x = 1,617,489.88
5. Step 5: Solve for x
   x = 1,617,489.88/1,463.88
6. Step 6: Final answer
   x = 1,104.93