Finding the Fourth Proportional to 10,943.12, 16,414.52 and 5,096.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,943.12 : 16,414.52 = 5,096.40 : x
2. Step 2: Convert to fraction form
   10,943.12/16,414.52 = 5,096.40/x
3. Step 3: Cross multiply
   10,943.12x = 16,414.52 × 5,096.40
4. Step 4: Simplify right side
   10,943.12x = 83,654,959.73
5. Step 5: Solve for x
   x = 83,654,959.73/10,943.12
6. Step 6: Final answer
   x = 7,644.53