Finding the Fourth Proportional to 6,504.96, 8,978.04 and 3,853.80

Step by Step Solution

1. Step 1: Write the proportion equation
   6,504.96 : 8,978.04 = 3,853.80 : x
2. Step 2: Convert to fraction form
   6,504.96/8,978.04 = 3,853.80/x
3. Step 3: Cross multiply
   6,504.96x = 8,978.04 × 3,853.80
4. Step 4: Simplify right side
   6,504.96x = 34,599,570.55
5. Step 5: Solve for x
   x = 34,599,570.55/6,504.96
6. Step 6: Final answer
   x = 5,318.95