Finding the Fourth Proportional to 6,842.06, 9,442.05 and 3,698.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,842.06 : 9,442.05 = 3,698.25 : x
2. Step 2: Convert to fraction form
   6,842.06/9,442.05 = 3,698.25/x
3. Step 3: Cross multiply
   6,842.06x = 9,442.05 × 3,698.25
4. Step 4: Simplify right side
   6,842.06x = 34,919,061.41
5. Step 5: Solve for x
   x = 34,919,061.41/6,842.06
6. Step 6: Final answer
   x = 5,103.59