Finding the Fourth Proportional to 5,978.34, 8,251.47 and 3,878.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978.34 : 8,251.47 = 3,878.82 : x
2. Step 2: Convert to fraction form
   5,978.34/8,251.47 = 3,878.82/x
3. Step 3: Cross multiply
   5,978.34x = 8,251.47 × 3,878.82
4. Step 4: Simplify right side
   5,978.34x = 32,005,966.87
5. Step 5: Solve for x
   x = 32,005,966.87/5,978.34
6. Step 6: Final answer
   x = 5,353.65