Finding the Fourth Proportional to 10,096, 13,931.36 and 5,618.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 13,931.36 = 5,618.72 : x
2. Step 2: Convert to fraction form
   10,096/13,931.36 = 5,618.72/x
3. Step 3: Cross multiply
   10,096x = 13,931.36 × 5,618.72
4. Step 4: Simplify right side
   10,096x = 78,276,411.06
5. Step 5: Solve for x
   x = 78,276,411.06/10,096
6. Step 6: Final answer
   x = 7,753.21