Finding the Fourth Proportional to 1,196.16, 1,794.45 and 546.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.16 : 1,794.45 = 546.96 : x
2. Step 2: Convert to fraction form
   1,196.16/1,794.45 = 546.96/x
3. Step 3: Cross multiply
   1,196.16x = 1,794.45 × 546.96
4. Step 4: Simplify right side
   1,196.16x = 981,492.37
5. Step 5: Solve for x
   x = 981,492.37/1,196.16
6. Step 6: Final answer
   x = 820.54