Finding the Fourth Proportional to 6,842.64, 9,442.83 and 3,698.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,842.64 : 9,442.83 = 3,698.82 : x
2. Step 2: Convert to fraction form
   6,842.64/9,442.83 = 3,698.82/x
3. Step 3: Cross multiply
   6,842.64x = 9,442.83 × 3,698.82
4. Step 4: Simplify right side
   6,842.64x = 34,927,328.46
5. Step 5: Solve for x
   x = 34,927,328.46/6,842.64
6. Step 6: Final answer
   x = 5,104.36