Finding the Fourth Proportional to 5,686.02, 7,843.14 and 3,914.55

Step by Step Solution

1. Step 1: Write the proportion equation
   5,686.02 : 7,843.14 = 3,914.55 : x
2. Step 2: Convert to fraction form
   5,686.02/7,843.14 = 3,914.55/x
3. Step 3: Cross multiply
   5,686.02x = 7,843.14 × 3,914.55
4. Step 4: Simplify right side
   5,686.02x = 30,702,363.69
5. Step 5: Solve for x
   x = 30,702,363.69/5,686.02
6. Step 6: Final answer
   x = 5,399.62