Finding the Fourth Proportional to 10,096.16, 13,932.56 and 5,619.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.16 : 13,932.56 = 5,619.91 : x
2. Step 2: Convert to fraction form
   10,096.16/13,932.56 = 5,619.91/x
3. Step 3: Cross multiply
   10,096.16x = 13,932.56 × 5,619.91
4. Step 4: Simplify right side
   10,096.16x = 78,299,670.34
5. Step 5: Solve for x
   x = 78,299,670.34/10,096.16
6. Step 6: Final answer
   x = 7,755.39