Finding the Fourth Proportional to 10,722.67, 16,089.50 and 5,106.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,722.67 : 16,089.50 = 5,106.69 : x
2. Step 2: Convert to fraction form
   10,722.67/16,089.50 = 5,106.69/x
3. Step 3: Cross multiply
   10,722.67x = 16,089.50 × 5,106.69
4. Step 4: Simplify right side
   10,722.67x = 82,164,088.76
5. Step 5: Solve for x
   x = 82,164,088.76/10,722.67
6. Step 6: Final answer
   x = 7,662.65