Finding the Fourth Proportional to 3,853.98, 5,329.35 and 3,679.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,853.98 : 5,329.35 = 3,679.74 : x
2. Step 2: Convert to fraction form
   3,853.98/5,329.35 = 3,679.74/x
3. Step 3: Cross multiply
   3,853.98x = 5,329.35 × 3,679.74
4. Step 4: Simplify right side
   3,853.98x = 19,610,622.37
5. Step 5: Solve for x
   x = 19,610,622.37/3,853.98
6. Step 6: Final answer
   x = 5,088.41