Finding the Fourth Proportional to 1,463.69, 2,019.93 and 800.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.69 : 2,019.93 = 800.57 : x
2. Step 2: Convert to fraction form
   1,463.69/2,019.93 = 800.57/x
3. Step 3: Cross multiply
   1,463.69x = 2,019.93 × 800.57
4. Step 4: Simplify right side
   1,463.69x = 1,617,095.36
5. Step 5: Solve for x
   x = 1,617,095.36/1,463.69
6. Step 6: Final answer
   x = 1,104.81