Finding the Fourth Proportional to 1,519.16, 2,096.61 and 856.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,519.16 : 2,096.61 = 856.18 : x
2. Step 2: Convert to fraction form
   1,519.16/2,096.61 = 856.18/x
3. Step 3: Cross multiply
   1,519.16x = 2,096.61 × 856.18
4. Step 4: Simplify right side
   1,519.16x = 1,795,075.55
5. Step 5: Solve for x
   x = 1,795,075.55/1,519.16
6. Step 6: Final answer
   x = 1,181.62