Finding the Fourth Proportional to 11,002, 15,171.36 and 7,648.60

Step by Step Solution

1. Step 1: Write the proportion equation
   11,002 : 15,171.36 = 7,648.60 : x
2. Step 2: Convert to fraction form
   11,002/15,171.36 = 7,648.60/x
3. Step 3: Cross multiply
   11,002x = 15,171.36 × 7,648.60
4. Step 4: Simplify right side
   11,002x = 116,039,664.10
5. Step 5: Solve for x
   x = 116,039,664.10/11,002
6. Step 6: Final answer
   x = 10,547.14