Finding the Fourth Proportional to 1,463.86, 2,020.09 and 800.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.86 : 2,020.09 = 800.69 : x
2. Step 2: Convert to fraction form
   1,463.86/2,020.09 = 800.69/x
3. Step 3: Cross multiply
   1,463.86x = 2,020.09 × 800.69
4. Step 4: Simplify right side
   1,463.86x = 1,617,465.86
5. Step 5: Solve for x
   x = 1,617,465.86/1,463.86
6. Step 6: Final answer
   x = 1,104.93