Finding the Fourth Proportional to 6,382.72, 9,577.68 and 3,460.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,382.72 : 9,577.68 = 3,460.96 : x
2. Step 2: Convert to fraction form
   6,382.72/9,577.68 = 3,460.96/x
3. Step 3: Cross multiply
   6,382.72x = 9,577.68 × 3,460.96
4. Step 4: Simplify right side
   6,382.72x = 33,147,967.37
5. Step 5: Solve for x
   x = 33,147,967.37/6,382.72
6. Step 6: Final answer
   x = 5,193.39