Finding the Fourth Proportional to 1,643.50, 2,466.56 and 863.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,643.50 : 2,466.56 = 863.96 : x
2. Step 2: Convert to fraction form
   1,643.50/2,466.56 = 863.96/x
3. Step 3: Cross multiply
   1,643.50x = 2,466.56 × 863.96
4. Step 4: Simplify right side
   1,643.50x = 2,131,001.69
5. Step 5: Solve for x
   x = 2,131,001.69/1,643.50
6. Step 6: Final answer
   x = 1,296.63