Finding the Fourth Proportional to 8,096.81, 12,142.94 and 5,130.86

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096.81 : 12,142.94 = 5,130.86 : x
2. Step 2: Convert to fraction form
   8,096.81/12,142.94 = 5,130.86/x
3. Step 3: Cross multiply
   8,096.81x = 12,142.94 × 5,130.86
4. Step 4: Simplify right side
   8,096.81x = 62,303,638.76
5. Step 5: Solve for x
   x = 62,303,638.76/8,096.81
6. Step 6: Final answer
   x = 7,694.84