Finding the Fourth Proportional to 1,411.24, 2,117.34 and 863.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.24 : 2,117.34 = 863.80 : x
2. Step 2: Convert to fraction form
   1,411.24/2,117.34 = 863.80/x
3. Step 3: Cross multiply
   1,411.24x = 2,117.34 × 863.80
4. Step 4: Simplify right side
   1,411.24x = 1,828,958.29
5. Step 5: Solve for x
   x = 1,828,958.29/1,411.24
6. Step 6: Final answer
   x = 1,295.99