Finding the Fourth Proportional to 12,306.80, 16,978.56 and 7,582.88

Step by Step Solution

1. Step 1: Write the proportion equation
   12,306.80 : 16,978.56 = 7,582.88 : x
2. Step 2: Convert to fraction form
   12,306.80/16,978.56 = 7,582.88/x
3. Step 3: Cross multiply
   12,306.80x = 16,978.56 × 7,582.88
4. Step 4: Simplify right side
   12,306.80x = 128,746,383.05
5. Step 5: Solve for x
   x = 128,746,383.05/12,306.80
6. Step 6: Final answer
   x = 10,461.40