Finding the Fourth Proportional to 1,101.48, 1,648.56 and 666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.48 : 1,648.56 = 666.50 : x
2. Step 2: Convert to fraction form
   1,101.48/1,648.56 = 666.50/x
3. Step 3: Cross multiply
   1,101.48x = 1,648.56 × 666.50
4. Step 4: Simplify right side
   1,101.48x = 1,098,765.24
5. Step 5: Solve for x
   x = 1,098,765.24/1,101.48
6. Step 6: Final answer
   x = 997.54