Finding the Fourth Proportional to 1,414.71, 1,951.56 and 824.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.71 : 1,951.56 = 824.76 : x
2. Step 2: Convert to fraction form
   1,414.71/1,951.56 = 824.76/x
3. Step 3: Cross multiply
   1,414.71x = 1,951.56 × 824.76
4. Step 4: Simplify right side
   1,414.71x = 1,609,568.63
5. Step 5: Solve for x
   x = 1,609,568.63/1,414.71
6. Step 6: Final answer
   x = 1,137.74