Finding the Fourth Proportional to 10,096.22, 13,932.38 and 5,619.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.22 : 13,932.38 = 5,619.85 : x
2. Step 2: Convert to fraction form
   10,096.22/13,932.38 = 5,619.85/x
3. Step 3: Cross multiply
   10,096.22x = 13,932.38 × 5,619.85
4. Step 4: Simplify right side
   10,096.22x = 78,297,787.98
5. Step 5: Solve for x
   x = 78,297,787.98/10,096.22
6. Step 6: Final answer
   x = 7,755.16