Finding the Fourth Proportional to 5,978.78, 8,965.20 and 3,785.84

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978.78 : 8,965.20 = 3,785.84 : x
2. Step 2: Convert to fraction form
   5,978.78/8,965.20 = 3,785.84/x
3. Step 3: Cross multiply
   5,978.78x = 8,965.20 × 3,785.84
4. Step 4: Simplify right side
   5,978.78x = 33,940,812.77
5. Step 5: Solve for x
   x = 33,940,812.77/5,978.78
6. Step 6: Final answer
   x = 5,676.88