Finding the Fourth Proportional to 10,687.90, 16,029.42 and 5,137.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,687.90 : 16,029.42 = 5,137.78 : x
2. Step 2: Convert to fraction form
   10,687.90/16,029.42 = 5,137.78/x
3. Step 3: Cross multiply
   10,687.90x = 16,029.42 × 5,137.78
4. Step 4: Simplify right side
   10,687.90x = 82,355,633.49
5. Step 5: Solve for x
   x = 82,355,633.49/10,687.90
6. Step 6: Final answer
   x = 7,705.50