Finding the Fourth Proportional to 1,196.38, 1,793.82 and 546.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.38 : 1,793.82 = 546.28 : x
2. Step 2: Convert to fraction form
   1,196.38/1,793.82 = 546.28/x
3. Step 3: Cross multiply
   1,196.38x = 1,793.82 × 546.28
4. Step 4: Simplify right side
   1,196.38x = 979,927.99
5. Step 5: Solve for x
   x = 979,927.99/1,196.38
6. Step 6: Final answer
   x = 819.08