Finding the Fourth Proportional to 1,097.96, 1,644.42 and 712.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.96 : 1,644.42 = 712.04 : x
2. Step 2: Convert to fraction form
   1,097.96/1,644.42 = 712.04/x
3. Step 3: Cross multiply
   1,097.96x = 1,644.42 × 712.04
4. Step 4: Simplify right side
   1,097.96x = 1,170,892.82
5. Step 5: Solve for x
   x = 1,170,892.82/1,097.96
6. Step 6: Final answer
   x = 1,066.43