Finding the Fourth Proportional to 9,738.78, 14,612.49 and 7,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738.78 : 14,612.49 = 7,237.50 : x
2. Step 2: Convert to fraction form
   9,738.78/14,612.49 = 7,237.50/x
3. Step 3: Cross multiply
   9,738.78x = 14,612.49 × 7,237.50
4. Step 4: Simplify right side
   9,738.78x = 105,757,896.38
5. Step 5: Solve for x
   x = 105,757,896.38/9,738.78
6. Step 6: Final answer
   x = 10,859.46