Finding the Fourth Proportional to 3,698.34, 5,139.92 and 3,659.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,698.34 : 5,139.92 = 3,659.46 : x
2. Step 2: Convert to fraction form
   3,698.34/5,139.92 = 3,659.46/x
3. Step 3: Cross multiply
   3,698.34x = 5,139.92 × 3,659.46
4. Step 4: Simplify right side
   3,698.34x = 18,809,313.35
5. Step 5: Solve for x
   x = 18,809,313.35/3,698.34
6. Step 6: Final answer
   x = 5,085.88