Finding the Fourth Proportional to 1,196.21, 1,793.69 and 546.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.21 : 1,793.69 = 546.38 : x
2. Step 2: Convert to fraction form
   1,196.21/1,793.69 = 546.38/x
3. Step 3: Cross multiply
   1,196.21x = 1,793.69 × 546.38
4. Step 4: Simplify right side
   1,196.21x = 980,024.64
5. Step 5: Solve for x
   x = 980,024.64/1,196.21
6. Step 6: Final answer
   x = 819.28