Finding the Fourth Proportional to 2,894.86, 4,342.56 and 814.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,894.86 : 4,342.56 = 814.78 : x
2. Step 2: Convert to fraction form
   2,894.86/4,342.56 = 814.78/x
3. Step 3: Cross multiply
   2,894.86x = 4,342.56 × 814.78
4. Step 4: Simplify right side
   2,894.86x = 3,538,231.04
5. Step 5: Solve for x
   x = 3,538,231.04/2,894.86
6. Step 6: Final answer
   x = 1,222.25