Finding the Fourth Proportional to 2,894.34, 4,340.86 and 814.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,894.34 : 4,340.86 = 814.56 : x
2. Step 2: Convert to fraction form
   2,894.34/4,340.86 = 814.56/x
3. Step 3: Cross multiply
   2,894.34x = 4,340.86 × 814.56
4. Step 4: Simplify right side
   2,894.34x = 3,535,872.61
5. Step 5: Solve for x
   x = 3,535,872.61/2,894.34
6. Step 6: Final answer
   x = 1,221.65