Finding the Fourth Proportional to 12,790.14, 17,648.82 and 7,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,790.14 : 17,648.82 = 7,123.50 : x
2. Step 2: Convert to fraction form
   12,790.14/17,648.82 = 7,123.50/x
3. Step 3: Cross multiply
   12,790.14x = 17,648.82 × 7,123.50
4. Step 4: Simplify right side
   12,790.14x = 125,721,369.27
5. Step 5: Solve for x
   x = 125,721,369.27/12,790.14
6. Step 6: Final answer
   x = 9,829.55