Finding the Fourth Proportional to 1,414.10, 1,951.57 and 824.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.10 : 1,951.57 = 824.62 : x
2. Step 2: Convert to fraction form
   1,414.10/1,951.57 = 824.62/x
3. Step 3: Cross multiply
   1,414.10x = 1,951.57 × 824.62
4. Step 4: Simplify right side
   1,414.10x = 1,609,303.65
5. Step 5: Solve for x
   x = 1,609,303.65/1,414.10
6. Step 6: Final answer
   x = 1,138.04