Finding the Fourth Proportional to 1,196.70, 1,792.53 and 547.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.70 : 1,792.53 = 547.98 : x
2. Step 2: Convert to fraction form
   1,196.70/1,792.53 = 547.98/x
3. Step 3: Cross multiply
   1,196.70x = 1,792.53 × 547.98
4. Step 4: Simplify right side
   1,196.70x = 982,270.59
5. Step 5: Solve for x
   x = 982,270.59/1,196.70
6. Step 6: Final answer
   x = 820.82