Finding the Fourth Proportional to 10,096.10, 13,932.38 and 5,619.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.10 : 13,932.38 = 5,619.75 : x
2. Step 2: Convert to fraction form
   10,096.10/13,932.38 = 5,619.75/x
3. Step 3: Cross multiply
   10,096.10x = 13,932.38 × 5,619.75
4. Step 4: Simplify right side
   10,096.10x = 78,296,540.25
5. Step 5: Solve for x
   x = 78,296,540.25/10,096.10
6. Step 6: Final answer
   x = 7,755.13