Finding the Fourth Proportional to 1,096.12, 1,642 and 710.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.12 : 1,642 = 710.56 : x
2. Step 2: Convert to fraction form
   1,096.12/1,642 = 710.56/x
3. Step 3: Cross multiply
   1,096.12x = 1,642 × 710.56
4. Step 4: Simplify right side
   1,096.12x = 1,166,739.52
5. Step 5: Solve for x
   x = 1,166,739.52/1,096.12
6. Step 6: Final answer
   x = 1,064.43