Finding the Fourth Proportional to 10,659.88, 14,693.00 and 9,766.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,659.88 : 14,693.00 = 9,766.47 : x
2. Step 2: Convert to fraction form
   10,659.88/14,693.00 = 9,766.47/x
3. Step 3: Cross multiply
   10,659.88x = 14,693.00 × 9,766.47
4. Step 4: Simplify right side
   10,659.88x = 143,498,749.98
5. Step 5: Solve for x
   x = 143,498,749.98/10,659.88
6. Step 6: Final answer
   x = 13,461.57