Finding the Fourth Proportional to 12,983.49, 17,913.96 and 7,680.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,983.49 : 17,913.96 = 7,680.02 : x
2. Step 2: Convert to fraction form
   12,983.49/17,913.96 = 7,680.02/x
3. Step 3: Cross multiply
   12,983.49x = 17,913.96 × 7,680.02
4. Step 4: Simplify right side
   12,983.49x = 137,579,481.51
5. Step 5: Solve for x
   x = 137,579,481.51/12,983.49
6. Step 6: Final answer
   x = 10,596.49