Finding the Fourth Proportional to 6,882.80, 9,498.16 and 3,738.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,882.80 : 9,498.16 = 3,738.96 : x
2. Step 2: Convert to fraction form
   6,882.80/9,498.16 = 3,738.96/x
3. Step 3: Cross multiply
   6,882.80x = 9,498.16 × 3,738.96
4. Step 4: Simplify right side
   6,882.80x = 35,513,240.31
5. Step 5: Solve for x
   x = 35,513,240.31/6,882.80
6. Step 6: Final answer
   x = 5,159.71