Finding the Fourth Proportional to 1,519.79, 2,278.71 and 824.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,519.79 : 2,278.71 = 824.72 : x
2. Step 2: Convert to fraction form
   1,519.79/2,278.71 = 824.72/x
3. Step 3: Cross multiply
   1,519.79x = 2,278.71 × 824.72
4. Step 4: Simplify right side
   1,519.79x = 1,879,286.32
5. Step 5: Solve for x
   x = 1,879,286.32/1,519.79
6. Step 6: Final answer
   x = 1,236.55