Finding the Fourth Proportional to 25,113.82, 37,676.82 and 7,582.60

Step by Step Solution

1. Step 1: Write the proportion equation
   25,113.82 : 37,676.82 = 7,582.60 : x
2. Step 2: Convert to fraction form
   25,113.82/37,676.82 = 7,582.60/x
3. Step 3: Cross multiply
   25,113.82x = 37,676.82 × 7,582.60
4. Step 4: Simplify right side
   25,113.82x = 285,688,255.33
5. Step 5: Solve for x
   x = 285,688,255.33/25,113.82
6. Step 6: Final answer
   x = 11,375.74