Finding the Fourth Proportional to 9,978.92, 13,771.83 and 5,730.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.92 : 13,771.83 = 5,730.54 : x
2. Step 2: Convert to fraction form
   9,978.92/13,771.83 = 5,730.54/x
3. Step 3: Cross multiply
   9,978.92x = 13,771.83 × 5,730.54
4. Step 4: Simplify right side
   9,978.92x = 78,920,022.69
5. Step 5: Solve for x
   x = 78,920,022.69/9,978.92
6. Step 6: Final answer
   x = 7,908.67