Finding the Fourth Proportional to 1,096.69, 1,645.41 and 548.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.69 : 1,645.41 = 548.57 : x
2. Step 2: Convert to fraction form
   1,096.69/1,645.41 = 548.57/x
3. Step 3: Cross multiply
   1,096.69x = 1,645.41 × 548.57
4. Step 4: Simplify right side
   1,096.69x = 902,628.73
5. Step 5: Solve for x
   x = 902,628.73/1,096.69
6. Step 6: Final answer
   x = 823.05