Finding the Fourth Proportional to 7,685.48, 10,601.82 and 5,137.64

Step by Step Solution

1. Step 1: Write the proportion equation
   7,685.48 : 10,601.82 = 5,137.64 : x
2. Step 2: Convert to fraction form
   7,685.48/10,601.82 = 5,137.64/x
3. Step 3: Cross multiply
   7,685.48x = 10,601.82 × 5,137.64
4. Step 4: Simplify right side
   7,685.48x = 54,468,334.50
5. Step 5: Solve for x
   x = 54,468,334.50/7,685.48
6. Step 6: Final answer
   x = 7,087.17