Finding the Fourth Proportional to 7,178.33, 9,906.71 and 3,992.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,178.33 : 9,906.71 = 3,992.25 : x
2. Step 2: Convert to fraction form
   7,178.33/9,906.71 = 3,992.25/x
3. Step 3: Cross multiply
   7,178.33x = 9,906.71 × 3,992.25
4. Step 4: Simplify right side
   7,178.33x = 39,549,993.50
5. Step 5: Solve for x
   x = 39,549,993.50/7,178.33
6. Step 6: Final answer
   x = 5,509.64