Finding the Fourth Proportional to 6,385.82, 9,564.96 and 3,457.94

Step by Step Solution

1. Step 1: Write the proportion equation
   6,385.82 : 9,564.96 = 3,457.94 : x
2. Step 2: Convert to fraction form
   6,385.82/9,564.96 = 3,457.94/x
3. Step 3: Cross multiply
   6,385.82x = 9,564.96 × 3,457.94
4. Step 4: Simplify right side
   6,385.82x = 33,075,057.78
5. Step 5: Solve for x
   x = 33,075,057.78/6,385.82
6. Step 6: Final answer
   x = 5,179.45