Finding the Fourth Proportional to 9,501.57, 14,262.38 and 7,766.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,501.57 : 14,262.38 = 7,766.55 : x
2. Step 2: Convert to fraction form
   9,501.57/14,262.38 = 7,766.55/x
3. Step 3: Cross multiply
   9,501.57x = 14,262.38 × 7,766.55
4. Step 4: Simplify right side
   9,501.57x = 110,769,477.68
5. Step 5: Solve for x
   x = 110,769,477.68/9,501.57
6. Step 6: Final answer
   x = 11,658.02