Finding the Fourth Proportional to 11,540.51, 15,921.60 and 7,757.68

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540.51 : 15,921.60 = 7,757.68 : x
2. Step 2: Convert to fraction form
   11,540.51/15,921.60 = 7,757.68/x
3. Step 3: Cross multiply
   11,540.51x = 15,921.60 × 7,757.68
4. Step 4: Simplify right side
   11,540.51x = 123,514,677.89
5. Step 5: Solve for x
   x = 123,514,677.89/11,540.51
6. Step 6: Final answer
   x = 10,702.71