Finding the Fourth Proportional to 12,627.50, 17,426.50 and 7,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,627.50 : 17,426.50 = 7,038.50 : x
2. Step 2: Convert to fraction form
   12,627.50/17,426.50 = 7,038.50/x
3. Step 3: Cross multiply
   12,627.50x = 17,426.50 × 7,038.50
4. Step 4: Simplify right side
   12,627.50x = 122,656,420.25
5. Step 5: Solve for x
   x = 122,656,420.25/12,627.50
6. Step 6: Final answer
   x = 9,713.44