Finding the Fourth Proportional to 12,964.14, 17,890.56 and 7,661.61

Step by Step Solution

1. Step 1: Write the proportion equation
   12,964.14 : 17,890.56 = 7,661.61 : x
2. Step 2: Convert to fraction form
   12,964.14/17,890.56 = 7,661.61/x
3. Step 3: Cross multiply
   12,964.14x = 17,890.56 × 7,661.61
4. Step 4: Simplify right side
   12,964.14x = 137,070,493.40
5. Step 5: Solve for x
   x = 137,070,493.40/12,964.14
6. Step 6: Final answer
   x = 10,573.05