Finding the Fourth Proportional to 11,380, 15,708.72 and 7,656.16

Step by Step Solution

1. Step 1: Write the proportion equation
   11,380 : 15,708.72 = 7,656.16 : x
2. Step 2: Convert to fraction form
   11,380/15,708.72 = 7,656.16/x
3. Step 3: Cross multiply
   11,380x = 15,708.72 × 7,656.16
4. Step 4: Simplify right side
   11,380x = 120,268,473.72
5. Step 5: Solve for x
   x = 120,268,473.72/11,380
6. Step 6: Final answer
   x = 10,568.41