Finding the Fourth Proportional to 10,096.59, 13,933.14 and 5,620.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.59 : 13,933.14 = 5,620.33 : x
2. Step 2: Convert to fraction form
   10,096.59/13,933.14 = 5,620.33/x
3. Step 3: Cross multiply
   10,096.59x = 13,933.14 × 5,620.33
4. Step 4: Simplify right side
   10,096.59x = 78,308,816.63
5. Step 5: Solve for x
   x = 78,308,816.63/10,096.59
6. Step 6: Final answer
   x = 7,755.97