Finding the Fourth Proportional to 6,465.60, 9,716.57 and 3,833.48

Step by Step Solution

1. Step 1: Write the proportion equation
   6,465.60 : 9,716.57 = 3,833.48 : x
2. Step 2: Convert to fraction form
   6,465.60/9,716.57 = 3,833.48/x
3. Step 3: Cross multiply
   6,465.60x = 9,716.57 × 3,833.48
4. Step 4: Simplify right side
   6,465.60x = 37,248,281.89
5. Step 5: Solve for x
   x = 37,248,281.89/6,465.60
6. Step 6: Final answer
   x = 5,760.99