Finding the Fourth Proportional to 5,685.64, 7,843.18 and 3,914.18

Step by Step Solution

1. Step 1: Write the proportion equation
   5,685.64 : 7,843.18 = 3,914.18 : x
2. Step 2: Convert to fraction form
   5,685.64/7,843.18 = 3,914.18/x
3. Step 3: Cross multiply
   5,685.64x = 7,843.18 × 3,914.18
4. Step 4: Simplify right side
   5,685.64x = 30,699,618.29
5. Step 5: Solve for x
   x = 30,699,618.29/5,685.64
6. Step 6: Final answer
   x = 5,399.50