Finding the Fourth Proportional to 1,086.80, 1,627.05 and 814.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.80 : 1,627.05 = 814.10 : x
2. Step 2: Convert to fraction form
   1,086.80/1,627.05 = 814.10/x
3. Step 3: Cross multiply
   1,086.80x = 1,627.05 × 814.10
4. Step 4: Simplify right side
   1,086.80x = 1,324,581.41
5. Step 5: Solve for x
   x = 1,324,581.41/1,086.80
6. Step 6: Final answer
   x = 1,218.79