Finding the Fourth Proportional to 1,463.67, 2,019.78 and 800.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.67 : 2,019.78 = 800.53 : x
2. Step 2: Convert to fraction form
   1,463.67/2,019.78 = 800.53/x
3. Step 3: Cross multiply
   1,463.67x = 2,019.78 × 800.53
4. Step 4: Simplify right side
   1,463.67x = 1,616,889.43
5. Step 5: Solve for x
   x = 1,616,889.43/1,463.67
6. Step 6: Final answer
   x = 1,104.68