Finding the Fourth Proportional to 1,096.34, 1,644.78 and 1,006.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.34 : 1,644.78 = 1,006.34 : x
2. Step 2: Convert to fraction form
   1,096.34/1,644.78 = 1,006.34/x
3. Step 3: Cross multiply
   1,096.34x = 1,644.78 × 1,006.34
4. Step 4: Simplify right side
   1,096.34x = 1,655,207.91
5. Step 5: Solve for x
   x = 1,655,207.91/1,096.34
6. Step 6: Final answer
   x = 1,509.76