Finding the Fourth Proportional to 13,714.79, 18,926.82 and 7,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,714.79 : 18,926.82 = 7,665.50 : x
2. Step 2: Convert to fraction form
   13,714.79/18,926.82 = 7,665.50/x
3. Step 3: Cross multiply
   13,714.79x = 18,926.82 × 7,665.50
4. Step 4: Simplify right side
   13,714.79x = 145,083,586.03
5. Step 5: Solve for x
   x = 145,083,586.03/13,714.79
6. Step 6: Final answer
   x = 10,578.63