Finding the Fourth Proportional to 1,095.69, 1,642.23 and 633.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,095.69 : 1,642.23 = 633.78 : x
2. Step 2: Convert to fraction form
   1,095.69/1,642.23 = 633.78/x
3. Step 3: Cross multiply
   1,095.69x = 1,642.23 × 633.78
4. Step 4: Simplify right side
   1,095.69x = 1,040,812.53
5. Step 5: Solve for x
   x = 1,040,812.53/1,095.69
6. Step 6: Final answer
   x = 949.92