Finding the Fourth Proportional to 2,761.84, 4,142.82 and 814.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,761.84 : 4,142.82 = 814.24 : x
2. Step 2: Convert to fraction form
   2,761.84/4,142.82 = 814.24/x
3. Step 3: Cross multiply
   2,761.84x = 4,142.82 × 814.24
4. Step 4: Simplify right side
   2,761.84x = 3,373,249.76
5. Step 5: Solve for x
   x = 3,373,249.76/2,761.84
6. Step 6: Final answer
   x = 1,221.38