Finding the Fourth Proportional to 1,463.70, 2,019.82 and 800.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.70 : 2,019.82 = 800.42 : x
2. Step 2: Convert to fraction form
   1,463.70/2,019.82 = 800.42/x
3. Step 3: Cross multiply
   1,463.70x = 2,019.82 × 800.42
4. Step 4: Simplify right side
   1,463.70x = 1,616,704.32
5. Step 5: Solve for x
   x = 1,616,704.32/1,463.70
6. Step 6: Final answer
   x = 1,104.53