Finding the Fourth Proportional to 6,499.29, 8,969.10 and 3,946.32

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.29 : 8,969.10 = 3,946.32 : x
2. Step 2: Convert to fraction form
   6,499.29/8,969.10 = 3,946.32/x
3. Step 3: Cross multiply
   6,499.29x = 8,969.10 × 3,946.32
4. Step 4: Simplify right side
   6,499.29x = 35,394,923.91
5. Step 5: Solve for x
   x = 35,394,923.91/6,499.29
6. Step 6: Final answer
   x = 5,445.97