Finding the Fourth Proportional to 10,096.56, 13,933.11 and 5,620.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.56 : 13,933.11 = 5,620.31 : x
2. Step 2: Convert to fraction form
   10,096.56/13,933.11 = 5,620.31/x
3. Step 3: Cross multiply
   10,096.56x = 13,933.11 × 5,620.31
4. Step 4: Simplify right side
   10,096.56x = 78,308,397.46
5. Step 5: Solve for x
   x = 78,308,397.46/10,096.56
6. Step 6: Final answer
   x = 7,755.95