Finding the Fourth Proportional to 1,196.89, 1,793.71 and 546.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.89 : 1,793.71 = 546.19 : x
2. Step 2: Convert to fraction form
   1,196.89/1,793.71 = 546.19/x
3. Step 3: Cross multiply
   1,196.89x = 1,793.71 × 546.19
4. Step 4: Simplify right side
   1,196.89x = 979,706.46
5. Step 5: Solve for x
   x = 979,706.46/1,196.89
6. Step 6: Final answer
   x = 818.54