Finding the Fourth Proportional to 6,384.96, 9,569.69 and 3,416.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,384.96 : 9,569.69 = 3,416.10 : x
2. Step 2: Convert to fraction form
   6,384.96/9,569.69 = 3,416.10/x
3. Step 3: Cross multiply
   6,384.96x = 9,569.69 × 3,416.10
4. Step 4: Simplify right side
   6,384.96x = 32,691,000.93
5. Step 5: Solve for x
   x = 32,691,000.93/6,384.96
6. Step 6: Final answer
   x = 5,120.00