Finding the Fourth Proportional to 7,768.08, 10,794.42 and 7,688.16

Step by Step Solution

1. Step 1: Write the proportion equation
   7,768.08 : 10,794.42 = 7,688.16 : x
2. Step 2: Convert to fraction form
   7,768.08/10,794.42 = 7,688.16/x
3. Step 3: Cross multiply
   7,768.08x = 10,794.42 × 7,688.16
4. Step 4: Simplify right side
   7,768.08x = 82,989,228.07
5. Step 5: Solve for x
   x = 82,989,228.07/7,768.08
6. Step 6: Final answer
   x = 10,683.36