Finding the Fourth Proportional to 1,518.50, 2,096.80 and 1,022.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,518.50 : 2,096.80 = 1,022.78 : x
2. Step 2: Convert to fraction form
   1,518.50/2,096.80 = 1,022.78/x
3. Step 3: Cross multiply
   1,518.50x = 2,096.80 × 1,022.78
4. Step 4: Simplify right side
   1,518.50x = 2,144,552.06
5. Step 5: Solve for x
   x = 2,144,552.06/1,518.50
6. Step 6: Final answer
   x = 1,412.29