Finding the Fourth Proportional to 13,006.50, 17,948.99 and 7,038.15

Step by Step Solution

1. Step 1: Write the proportion equation
   13,006.50 : 17,948.99 = 7,038.15 : x
2. Step 2: Convert to fraction form
   13,006.50/17,948.99 = 7,038.15/x
3. Step 3: Cross multiply
   13,006.50x = 17,948.99 × 7,038.15
4. Step 4: Simplify right side
   13,006.50x = 126,327,648.78
5. Step 5: Solve for x
   x = 126,327,648.78/13,006.50
6. Step 6: Final answer
   x = 9,712.66