Finding the Fourth Proportional to 10,096.89, 15,134.67 and 3,852.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.89 : 15,134.67 = 3,852.87 : x
2. Step 2: Convert to fraction form
   10,096.89/15,134.67 = 3,852.87/x
3. Step 3: Cross multiply
   10,096.89x = 15,134.67 × 3,852.87
4. Step 4: Simplify right side
   10,096.89x = 58,311,916.00
5. Step 5: Solve for x
   x = 58,311,916.00/10,096.89
6. Step 6: Final answer
   x = 5,775.24