Finding the Fourth Proportional to 9,096.64, 13,615.36 and 5,087.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.64 : 13,615.36 = 5,087.41 : x
2. Step 2: Convert to fraction form
   9,096.64/13,615.36 = 5,087.41/x
3. Step 3: Cross multiply
   9,096.64x = 13,615.36 × 5,087.41
4. Step 4: Simplify right side
   9,096.64x = 69,266,871.86
5. Step 5: Solve for x
   x = 69,266,871.86/9,096.64
6. Step 6: Final answer
   x = 7,614.56