Finding the Fourth Proportional to 1,519.34, 2,096.64 and 856.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,519.34 : 2,096.64 = 856.22 : x
2. Step 2: Convert to fraction form
   1,519.34/2,096.64 = 856.22/x
3. Step 3: Cross multiply
   1,519.34x = 2,096.64 × 856.22
4. Step 4: Simplify right side
   1,519.34x = 1,795,185.10
5. Step 5: Solve for x
   x = 1,795,185.10/1,519.34
6. Step 6: Final answer
   x = 1,181.56