Finding the Fourth Proportional to 3,914.25, 5,369.50 and 3,702.41

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914.25 : 5,369.50 = 3,702.41 : x
2. Step 2: Convert to fraction form
   3,914.25/5,369.50 = 3,702.41/x
3. Step 3: Cross multiply
   3,914.25x = 5,369.50 × 3,702.41
4. Step 4: Simplify right side
   3,914.25x = 19,880,063.65
5. Step 5: Solve for x
   x = 19,880,063.65/3,914.25
6. Step 6: Final answer
   x = 5,078.89