Finding the Fourth Proportional to 1,519.80, 2,097.24 and 856.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,519.80 : 2,097.24 = 856.78 : x
2. Step 2: Convert to fraction form
   1,519.80/2,097.24 = 856.78/x
3. Step 3: Cross multiply
   1,519.80x = 2,097.24 × 856.78
4. Step 4: Simplify right side
   1,519.80x = 1,796,864.83
5. Step 5: Solve for x
   x = 1,796,864.83/1,519.80
6. Step 6: Final answer
   x = 1,182.31