Finding the Fourth Proportional to 6,930.91, 9,563.55 and 3,946.80

Step by Step Solution

1. Step 1: Write the proportion equation
   6,930.91 : 9,563.55 = 3,946.80 : x
2. Step 2: Convert to fraction form
   6,930.91/9,563.55 = 3,946.80/x
3. Step 3: Cross multiply
   6,930.91x = 9,563.55 × 3,946.80
4. Step 4: Simplify right side
   6,930.91x = 37,745,404.34
5. Step 5: Solve for x
   x = 37,745,404.34/6,930.91
6. Step 6: Final answer
   x = 5,445.95