Finding the Fourth Proportional to 13,006, 17,942.56 and 7,625.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,006 : 17,942.56 = 7,625.69 : x
2. Step 2: Convert to fraction form
   13,006/17,942.56 = 7,625.69/x
3. Step 3: Cross multiply
   13,006x = 17,942.56 × 7,625.69
4. Step 4: Simplify right side
   13,006x = 136,824,400.37
5. Step 5: Solve for x
   x = 136,824,400.37/13,006
6. Step 6: Final answer
   x = 10,520.10