Finding the Fourth Proportional to 1,096.18, 1,642.10 and 633.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.18 : 1,642.10 = 633.67 : x
2. Step 2: Convert to fraction form
   1,096.18/1,642.10 = 633.67/x
3. Step 3: Cross multiply
   1,096.18x = 1,642.10 × 633.67
4. Step 4: Simplify right side
   1,096.18x = 1,040,549.51
5. Step 5: Solve for x
   x = 1,040,549.51/1,096.18
6. Step 6: Final answer
   x = 949.25