Finding the Fourth Proportional to 1,096.81, 1,513.69 and 624.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.81 : 1,513.69 = 624.78 : x
2. Step 2: Convert to fraction form
   1,096.81/1,513.69 = 624.78/x
3. Step 3: Cross multiply
   1,096.81x = 1,513.69 × 624.78
4. Step 4: Simplify right side
   1,096.81x = 945,721.68
5. Step 5: Solve for x
   x = 945,721.68/1,096.81
6. Step 6: Final answer
   x = 862.25