Finding the Fourth Proportional to 1,196.80, 1,794.48 and 546.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.80 : 1,794.48 = 546.88 : x
2. Step 2: Convert to fraction form
   1,196.80/1,794.48 = 546.88/x
3. Step 3: Cross multiply
   1,196.80x = 1,794.48 × 546.88
4. Step 4: Simplify right side
   1,196.80x = 981,365.22
5. Step 5: Solve for x
   x = 981,365.22/1,196.80
6. Step 6: Final answer
   x = 819.99