Finding the Fourth Proportional to 6,577.83, 9,865.69 and 2,416.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,577.83 : 9,865.69 = 2,416.82 : x
2. Step 2: Convert to fraction form
   6,577.83/9,865.69 = 2,416.82/x
3. Step 3: Cross multiply
   6,577.83x = 9,865.69 × 2,416.82
4. Step 4: Simplify right side
   6,577.83x = 23,843,541.54
5. Step 5: Solve for x
   x = 23,843,541.54/6,577.83
6. Step 6: Final answer
   x = 3,624.83