Finding the Fourth Proportional to 8,540.78, 11,782.98 and 5,182.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,540.78 : 11,782.98 = 5,182.38 : x
2. Step 2: Convert to fraction form
   8,540.78/11,782.98 = 5,182.38/x
3. Step 3: Cross multiply
   8,540.78x = 11,782.98 × 5,182.38
4. Step 4: Simplify right side
   8,540.78x = 61,063,879.89
5. Step 5: Solve for x
   x = 61,063,879.89/8,540.78
6. Step 6: Final answer
   x = 7,149.69