Finding the Fourth Proportional to 10,096.39, 13,933.67 and 5,620.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.39 : 13,933.67 = 5,620.13 : x
2. Step 2: Convert to fraction form
   10,096.39/13,933.67 = 5,620.13/x
3. Step 3: Cross multiply
   10,096.39x = 13,933.67 × 5,620.13
4. Step 4: Simplify right side
   10,096.39x = 78,309,036.78
5. Step 5: Solve for x
   x = 78,309,036.78/10,096.39
6. Step 6: Final answer
   x = 7,756.14