Finding the Fourth Proportional to 6,839.69, 9,438.76 and 3,695.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,839.69 : 9,438.76 = 3,695.88 : x
2. Step 2: Convert to fraction form
   6,839.69/9,438.76 = 3,695.88/x
3. Step 3: Cross multiply
   6,839.69x = 9,438.76 × 3,695.88
4. Step 4: Simplify right side
   6,839.69x = 34,884,472.74
5. Step 5: Solve for x
   x = 34,884,472.74/6,839.69
6. Step 6: Final answer
   x = 5,100.30