Finding the Fourth Proportional to 1,411.46, 2,118.76 and 827.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.46 : 2,118.76 = 827.15 : x
2. Step 2: Convert to fraction form
   1,411.46/2,118.76 = 827.15/x
3. Step 3: Cross multiply
   1,411.46x = 2,118.76 × 827.15
4. Step 4: Simplify right side
   1,411.46x = 1,752,519.67
5. Step 5: Solve for x
   x = 1,752,519.67/1,411.46
6. Step 6: Final answer
   x = 1,241.64