Finding the Fourth Proportional to 1,196.88, 1,794.57 and 546.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.88 : 1,794.57 = 546.78 : x
2. Step 2: Convert to fraction form
   1,196.88/1,794.57 = 546.78/x
3. Step 3: Cross multiply
   1,196.88x = 1,794.57 × 546.78
4. Step 4: Simplify right side
   1,196.88x = 981,234.98
5. Step 5: Solve for x
   x = 981,234.98/1,196.88
6. Step 6: Final answer
   x = 819.83