Finding the Fourth Proportional to 7,678.90, 10,597.90 and 5,695.12

Step by Step Solution

1. Step 1: Write the proportion equation
   7,678.90 : 10,597.90 = 5,695.12 : x
2. Step 2: Convert to fraction form
   7,678.90/10,597.90 = 5,695.12/x
3. Step 3: Cross multiply
   7,678.90x = 10,597.90 × 5,695.12
4. Step 4: Simplify right side
   7,678.90x = 60,356,312.25
5. Step 5: Solve for x
   x = 60,356,312.25/7,678.90
6. Step 6: Final answer
   x = 7,860.02