Finding the Fourth Proportional to 13,906.43, 20,860.56 and 5,585.37

Step by Step Solution

1. Step 1: Write the proportion equation
   13,906.43 : 20,860.56 = 5,585.37 : x
2. Step 2: Convert to fraction form
   13,906.43/20,860.56 = 5,585.37/x
3. Step 3: Cross multiply
   13,906.43x = 20,860.56 × 5,585.37
4. Step 4: Simplify right side
   13,906.43x = 116,513,946.01
5. Step 5: Solve for x
   x = 116,513,946.01/13,906.43
6. Step 6: Final answer
   x = 8,378.42