Finding the Fourth Proportional to 5,675.94, 7,838.78 and 5,057.51

Step by Step Solution

1. Step 1: Write the proportion equation
   5,675.94 : 7,838.78 = 5,057.51 : x
2. Step 2: Convert to fraction form
   5,675.94/7,838.78 = 5,057.51/x
3. Step 3: Cross multiply
   5,675.94x = 7,838.78 × 5,057.51
4. Step 4: Simplify right side
   5,675.94x = 39,644,643.76
5. Step 5: Solve for x
   x = 39,644,643.76/5,675.94
6. Step 6: Final answer
   x = 6,984.68