Finding the Fourth Proportional to 6,478.86, 8,940.46 and 3,646.35

Step by Step Solution

1. Step 1: Write the proportion equation
   6,478.86 : 8,940.46 = 3,646.35 : x
2. Step 2: Convert to fraction form
   6,478.86/8,940.46 = 3,646.35/x
3. Step 3: Cross multiply
   6,478.86x = 8,940.46 × 3,646.35
4. Step 4: Simplify right side
   6,478.86x = 32,600,077.57
5. Step 5: Solve for x
   x = 32,600,077.57/6,478.86
6. Step 6: Final answer
   x = 5,031.76