Finding the Fourth Proportional to 1,096.56, 1,647.68 and 824.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.56 : 1,647.68 = 824.40 : x
2. Step 2: Convert to fraction form
   1,096.56/1,647.68 = 824.40/x
3. Step 3: Cross multiply
   1,096.56x = 1,647.68 × 824.40
4. Step 4: Simplify right side
   1,096.56x = 1,358,343.27
5. Step 5: Solve for x
   x = 1,358,343.27/1,096.56
6. Step 6: Final answer
   x = 1,238.73