Finding the Fourth Proportional to 10,685.37, 14,742.56 and 6,208.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,685.37 : 14,742.56 = 6,208.25 : x
2. Step 2: Convert to fraction form
   10,685.37/14,742.56 = 6,208.25/x
3. Step 3: Cross multiply
   10,685.37x = 14,742.56 × 6,208.25
4. Step 4: Simplify right side
   10,685.37x = 91,525,498.12
5. Step 5: Solve for x
   x = 91,525,498.12/10,685.37
6. Step 6: Final answer
   x = 8,565.50