Finding the Fourth Proportional to 1,196.47, 1,794.71 and 546.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.47 : 1,794.71 = 546.75 : x
2. Step 2: Convert to fraction form
   1,196.47/1,794.71 = 546.75/x
3. Step 3: Cross multiply
   1,196.47x = 1,794.71 × 546.75
4. Step 4: Simplify right side
   1,196.47x = 981,255.98
5. Step 5: Solve for x
   x = 981,255.98/1,196.47
6. Step 6: Final answer
   x = 820.13