Finding the Fourth Proportional to 1,519.40, 2,096.78 and 856.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,519.40 : 2,096.78 = 856.27 : x
2. Step 2: Convert to fraction form
   1,519.40/2,096.78 = 856.27/x
3. Step 3: Cross multiply
   1,519.40x = 2,096.78 × 856.27
4. Step 4: Simplify right side
   1,519.40x = 1,795,409.81
5. Step 5: Solve for x
   x = 1,795,409.81/1,519.40
6. Step 6: Final answer
   x = 1,181.66