Finding the Fourth Proportional to 11,762.87, 16,229.60 and 6,978.83

Step by Step Solution

1. Step 1: Write the proportion equation
   11,762.87 : 16,229.60 = 6,978.83 : x
2. Step 2: Convert to fraction form
   11,762.87/16,229.60 = 6,978.83/x
3. Step 3: Cross multiply
   11,762.87x = 16,229.60 × 6,978.83
4. Step 4: Simplify right side
   11,762.87x = 113,263,503.33
5. Step 5: Solve for x
   x = 113,263,503.33/11,762.87
6. Step 6: Final answer
   x = 9,628.90