Finding the Fourth Proportional to 5,685.80, 7,839.18 and 3,914.33

Step by Step Solution

1. Step 1: Write the proportion equation
   5,685.80 : 7,839.18 = 3,914.33 : x
2. Step 2: Convert to fraction form
   5,685.80/7,839.18 = 3,914.33/x
3. Step 3: Cross multiply
   5,685.80x = 7,839.18 × 3,914.33
4. Step 4: Simplify right side
   5,685.80x = 30,685,098.25
5. Step 5: Solve for x
   x = 30,685,098.25/5,685.80
6. Step 6: Final answer
   x = 5,396.80