Finding the Fourth Proportional to 1,463.89, 2,020.17 and 800.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.89 : 2,020.17 = 800.74 : x
2. Step 2: Convert to fraction form
   1,463.89/2,020.17 = 800.74/x
3. Step 3: Cross multiply
   1,463.89x = 2,020.17 × 800.74
4. Step 4: Simplify right side
   1,463.89x = 1,617,631.95
5. Step 5: Solve for x
   x = 1,617,631.95/1,463.89
6. Step 6: Final answer
   x = 1,105.02