Finding the Fourth Proportional to 8,996.58, 12,414.69 and 5,639.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,996.58 : 12,414.69 = 5,639.25 : x
2. Step 2: Convert to fraction form
   8,996.58/12,414.69 = 5,639.25/x
3. Step 3: Cross multiply
   8,996.58x = 12,414.69 × 5,639.25
4. Step 4: Simplify right side
   8,996.58x = 70,009,540.58
5. Step 5: Solve for x
   x = 70,009,540.58/8,996.58
6. Step 6: Final answer
   x = 7,781.79