Finding the Fourth Proportional to 10,096.47, 13,932.89 and 5,620.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.47 : 13,932.89 = 5,620.12 : x
2. Step 2: Convert to fraction form
   10,096.47/13,932.89 = 5,620.12/x
3. Step 3: Cross multiply
   10,096.47x = 13,932.89 × 5,620.12
4. Step 4: Simplify right side
   10,096.47x = 78,304,471.89
5. Step 5: Solve for x
   x = 78,304,471.89/10,096.47
6. Step 6: Final answer
   x = 7,755.63