Finding the Fourth Proportional to 6,978.08, 10,469.55 and 2,596.79

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.08 : 10,469.55 = 2,596.79 : x
2. Step 2: Convert to fraction form
   6,978.08/10,469.55 = 2,596.79/x
3. Step 3: Cross multiply
   6,978.08x = 10,469.55 × 2,596.79
4. Step 4: Simplify right side
   6,978.08x = 27,187,222.74
5. Step 5: Solve for x
   x = 27,187,222.74/6,978.08
6. Step 6: Final answer
   x = 3,896.09