Finding the Fourth Proportional to 10,096.12, 13,932.47 and 5,619.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.12 : 13,932.47 = 5,619.74 : x
2. Step 2: Convert to fraction form
   10,096.12/13,932.47 = 5,619.74/x
3. Step 3: Cross multiply
   10,096.12x = 13,932.47 × 5,619.74
4. Step 4: Simplify right side
   10,096.12x = 78,296,830.86
5. Step 5: Solve for x
   x = 78,296,830.86/10,096.12
6. Step 6: Final answer
   x = 7,755.14