Finding the Fourth Proportional to 9,766.58, 14,648.31 and 3,192.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.58 : 14,648.31 = 3,192.71 : x
2. Step 2: Convert to fraction form
   9,766.58/14,648.31 = 3,192.71/x
3. Step 3: Cross multiply
   9,766.58x = 14,648.31 × 3,192.71
4. Step 4: Simplify right side
   9,766.58x = 46,767,732.58
5. Step 5: Solve for x
   x = 46,767,732.58/9,766.58
6. Step 6: Final answer
   x = 4,788.55