Finding the Fourth Proportional to 10,096.68, 13,933.29 and 5,620.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.68 : 13,933.29 = 5,620.44 : x
2. Step 2: Convert to fraction form
   10,096.68/13,933.29 = 5,620.44/x
3. Step 3: Cross multiply
   10,096.68x = 13,933.29 × 5,620.44
4. Step 4: Simplify right side
   10,096.68x = 78,311,220.45
5. Step 5: Solve for x
   x = 78,311,220.45/10,096.68
6. Step 6: Final answer
   x = 7,756.14