Finding the Fourth Proportional to 1,414.37, 1,952.49 and 824.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.37 : 1,952.49 = 824.81 : x
2. Step 2: Convert to fraction form
   1,414.37/1,952.49 = 824.81/x
3. Step 3: Cross multiply
   1,414.37x = 1,952.49 × 824.81
4. Step 4: Simplify right side
   1,414.37x = 1,610,433.28
5. Step 5: Solve for x
   x = 1,610,433.28/1,414.37
6. Step 6: Final answer
   x = 1,138.62