Finding the Fourth Proportional to 16,085.89, 24,138.78 and 7,766.74

Step by Step Solution

1. Step 1: Write the proportion equation
   16,085.89 : 24,138.78 = 7,766.74 : x
2. Step 2: Convert to fraction form
   16,085.89/24,138.78 = 7,766.74/x
3. Step 3: Cross multiply
   16,085.89x = 24,138.78 × 7,766.74
4. Step 4: Simplify right side
   16,085.89x = 187,479,628.18
5. Step 5: Solve for x
   x = 187,479,628.18/16,085.89
6. Step 6: Final answer
   x = 11,654.91