Finding the Fourth Proportional to 1,519.55, 2,096.75 and 856.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,519.55 : 2,096.75 = 856.40 : x
2. Step 2: Convert to fraction form
   1,519.55/2,096.75 = 856.40/x
3. Step 3: Cross multiply
   1,519.55x = 2,096.75 × 856.40
4. Step 4: Simplify right side
   1,519.55x = 1,795,641.93
5. Step 5: Solve for x
   x = 1,795,641.93/1,519.55
6. Step 6: Final answer
   x = 1,181.70