Finding the Fourth Proportional to 9,409.74, 12,984.74 and 5,160.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,409.74 : 12,984.74 = 5,160.12 : x
2. Step 2: Convert to fraction form
   9,409.74/12,984.74 = 5,160.12/x
3. Step 3: Cross multiply
   9,409.74x = 12,984.74 × 5,160.12
4. Step 4: Simplify right side
   9,409.74x = 67,002,790.77
5. Step 5: Solve for x
   x = 67,002,790.77/9,409.74
6. Step 6: Final answer
   x = 7,120.58