Finding the Fourth Proportional to 1,100.12, 1,648.02 and 665.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.12 : 1,648.02 = 665.96 : x
2. Step 2: Convert to fraction form
   1,100.12/1,648.02 = 665.96/x
3. Step 3: Cross multiply
   1,100.12x = 1,648.02 × 665.96
4. Step 4: Simplify right side
   1,100.12x = 1,097,515.40
5. Step 5: Solve for x
   x = 1,097,515.40/1,100.12
6. Step 6: Final answer
   x = 997.63