Finding the Fourth Proportional to 1,463.67, 2,019.87 and 800.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.67 : 2,019.87 = 800.52 : x
2. Step 2: Convert to fraction form
   1,463.67/2,019.87 = 800.52/x
3. Step 3: Cross multiply
   1,463.67x = 2,019.87 × 800.52
4. Step 4: Simplify right side
   1,463.67x = 1,616,938.76
5. Step 5: Solve for x
   x = 1,616,938.76/1,463.67
6. Step 6: Final answer
   x = 1,104.72