Finding the Fourth Proportional to 12,255.84, 18,386.56 and 9,766.40

Step by Step Solution

1. Step 1: Write the proportion equation
   12,255.84 : 18,386.56 = 9,766.40 : x
2. Step 2: Convert to fraction form
   12,255.84/18,386.56 = 9,766.40/x
3. Step 3: Cross multiply
   12,255.84x = 18,386.56 × 9,766.40
4. Step 4: Simplify right side
   12,255.84x = 179,570,499.58
5. Step 5: Solve for x
   x = 179,570,499.58/12,255.84
6. Step 6: Final answer
   x = 14,651.83