Finding the Fourth Proportional to 10,096.77, 13,931.91 and 5,620.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.77 : 13,931.91 = 5,620.41 : x
2. Step 2: Convert to fraction form
   10,096.77/13,931.91 = 5,620.41/x
3. Step 3: Cross multiply
   10,096.77x = 13,931.91 × 5,620.41
4. Step 4: Simplify right side
   10,096.77x = 78,303,046.28
5. Step 5: Solve for x
   x = 78,303,046.28/10,096.77
6. Step 6: Final answer
   x = 7,755.26