Finding the Fourth Proportional to 1,096.56, 1,644.81 and 365.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.56 : 1,644.81 = 365.94 : x
2. Step 2: Convert to fraction form
   1,096.56/1,644.81 = 365.94/x
3. Step 3: Cross multiply
   1,096.56x = 1,644.81 × 365.94
4. Step 4: Simplify right side
   1,096.56x = 601,901.77
5. Step 5: Solve for x
   x = 601,901.77/1,096.56
6. Step 6: Final answer
   x = 548.90