Finding the Fourth Proportional to 9,974.68, 13,665.26 and 9,600.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.68 : 13,665.26 = 9,600.77 : x
2. Step 2: Convert to fraction form
   9,974.68/13,665.26 = 9,600.77/x
3. Step 3: Cross multiply
   9,974.68x = 13,665.26 × 9,600.77
4. Step 4: Simplify right side
   9,974.68x = 131,196,945.54
5. Step 5: Solve for x
   x = 131,196,945.54/9,974.68
6. Step 6: Final answer
   x = 13,152.99