Finding the Fourth Proportional to 1,099.50, 1,517.37 and 633.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.50 : 1,517.37 = 633.78 : x
2. Step 2: Convert to fraction form
   1,099.50/1,517.37 = 633.78/x
3. Step 3: Cross multiply
   1,099.50x = 1,517.37 × 633.78
4. Step 4: Simplify right side
   1,099.50x = 961,678.76
5. Step 5: Solve for x
   x = 961,678.76/1,099.50
6. Step 6: Final answer
   x = 874.65