Finding the Fourth Proportional to 12,606.24, 17,396.58 and 7,824.42

Step by Step Solution

1. Step 1: Write the proportion equation
   12,606.24 : 17,396.58 = 7,824.42 : x
2. Step 2: Convert to fraction form
   12,606.24/17,396.58 = 7,824.42/x
3. Step 3: Cross multiply
   12,606.24x = 17,396.58 × 7,824.42
4. Step 4: Simplify right side
   12,606.24x = 136,118,148.48
5. Step 5: Solve for x
   x = 136,118,148.48/12,606.24
6. Step 6: Final answer
   x = 10,797.68