Finding the Fourth Proportional to 12,972.14, 17,901.60 and 7,669.62

Step by Step Solution

1. Step 1: Write the proportion equation
   12,972.14 : 17,901.60 = 7,669.62 : x
2. Step 2: Convert to fraction form
   12,972.14/17,901.60 = 7,669.62/x
3. Step 3: Cross multiply
   12,972.14x = 17,901.60 × 7,669.62
4. Step 4: Simplify right side
   12,972.14x = 137,298,469.39
5. Step 5: Solve for x
   x = 137,298,469.39/12,972.14
6. Step 6: Final answer
   x = 10,584.10