Finding the Fourth Proportional to 10,678.71, 16,025.93 and 5,135.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.71 : 16,025.93 = 5,135.25 : x
2. Step 2: Convert to fraction form
   10,678.71/16,025.93 = 5,135.25/x
3. Step 3: Cross multiply
   10,678.71x = 16,025.93 × 5,135.25
4. Step 4: Simplify right side
   10,678.71x = 82,297,157.03
5. Step 5: Solve for x
   x = 82,297,157.03/10,678.71
6. Step 6: Final answer
   x = 7,706.66