Finding the Fourth Proportional to 10,096.83, 13,934.03 and 5,620.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.83 : 13,934.03 = 5,620.41 : x
2. Step 2: Convert to fraction form
   10,096.83/13,934.03 = 5,620.41/x
3. Step 3: Cross multiply
   10,096.83x = 13,934.03 × 5,620.41
4. Step 4: Simplify right side
   10,096.83x = 78,314,933.45
5. Step 5: Solve for x
   x = 78,314,933.45/10,096.83
6. Step 6: Final answer
   x = 7,756.39