Finding the Fourth Proportional to 10,096.56, 13,915.74 and 9,513.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.56 : 13,915.74 = 9,513.36 : x
2. Step 2: Convert to fraction form
   10,096.56/13,915.74 = 9,513.36/x
3. Step 3: Cross multiply
   10,096.56x = 13,915.74 × 9,513.36
4. Step 4: Simplify right side
   10,096.56x = 132,385,444.29
5. Step 5: Solve for x
   x = 132,385,444.29/10,096.56
6. Step 6: Final answer
   x = 13,111.94