Finding the Fourth Proportional to 11,178.16, 16,766.52 and 3,782

Step by Step Solution

1. Step 1: Write the proportion equation
   11,178.16 : 16,766.52 = 3,782 : x
2. Step 2: Convert to fraction form
   11,178.16/16,766.52 = 3,782/x
3. Step 3: Cross multiply
   11,178.16x = 16,766.52 × 3,782
4. Step 4: Simplify right side
   11,178.16x = 63,410,978.64
5. Step 5: Solve for x
   x = 63,410,978.64/11,178.16
6. Step 6: Final answer
   x = 5,672.76