Finding the Fourth Proportional to 10,646.82, 15,956.06 and 5,648.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646.82 : 15,956.06 = 5,648.15 : x
2. Step 2: Convert to fraction form
   10,646.82/15,956.06 = 5,648.15/x
3. Step 3: Cross multiply
   10,646.82x = 15,956.06 × 5,648.15
4. Step 4: Simplify right side
   10,646.82x = 90,122,231.94
5. Step 5: Solve for x
   x = 90,122,231.94/10,646.82
6. Step 6: Final answer
   x = 8,464.71