Finding the Fourth Proportional to 1,519.72, 2,097.41 and 856.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,519.72 : 2,097.41 = 856.71 : x
2. Step 2: Convert to fraction form
   1,519.72/2,097.41 = 856.71/x
3. Step 3: Cross multiply
   1,519.72x = 2,097.41 × 856.71
4. Step 4: Simplify right side
   1,519.72x = 1,796,867.84
5. Step 5: Solve for x
   x = 1,796,867.84/1,519.72
6. Step 6: Final answer
   x = 1,182.37