Finding the Fourth Proportional to 1,463.59, 2,019.77 and 800.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.59 : 2,019.77 = 800.43 : x
2. Step 2: Convert to fraction form
   1,463.59/2,019.77 = 800.43/x
3. Step 3: Cross multiply
   1,463.59x = 2,019.77 × 800.43
4. Step 4: Simplify right side
   1,463.59x = 1,616,674.93
5. Step 5: Solve for x
   x = 1,616,674.93/1,463.59
6. Step 6: Final answer
   x = 1,104.60