Finding the Fourth Proportional to 7,678.89, 10,597.89 and 5,695.11

Step by Step Solution

1. Step 1: Write the proportion equation
   7,678.89 : 10,597.89 = 5,695.11 : x
2. Step 2: Convert to fraction form
   7,678.89/10,597.89 = 5,695.11/x
3. Step 3: Cross multiply
   7,678.89x = 10,597.89 × 5,695.11
4. Step 4: Simplify right side
   7,678.89x = 60,356,149.32
5. Step 5: Solve for x
   x = 60,356,149.32/7,678.89
6. Step 6: Final answer
   x = 7,860.01