Finding the Fourth Proportional to 6,096.39, 8,410.77 and 3,577.59

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.39 : 8,410.77 = 3,577.59 : x
2. Step 2: Convert to fraction form
   6,096.39/8,410.77 = 3,577.59/x
3. Step 3: Cross multiply
   6,096.39x = 8,410.77 × 3,577.59
4. Step 4: Simplify right side
   6,096.39x = 30,090,286.64
5. Step 5: Solve for x
   x = 30,090,286.64/6,096.39
6. Step 6: Final answer
   x = 4,935.75