Finding the Fourth Proportional to 6,410.66, 9,612.59 and 3,289.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,410.66 : 9,612.59 = 3,289.42 : x
2. Step 2: Convert to fraction form
   6,410.66/9,612.59 = 3,289.42/x
3. Step 3: Cross multiply
   6,410.66x = 9,612.59 × 3,289.42
4. Step 4: Simplify right side
   6,410.66x = 31,619,805.32
5. Step 5: Solve for x
   x = 31,619,805.32/6,410.66
6. Step 6: Final answer
   x = 4,932.38