Finding the Fourth Proportional to 6,417.32, 9,642.89 and 3,457.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,417.32 : 9,642.89 = 3,457.96 : x
2. Step 2: Convert to fraction form
   6,417.32/9,642.89 = 3,457.96/x
3. Step 3: Cross multiply
   6,417.32x = 9,642.89 × 3,457.96
4. Step 4: Simplify right side
   6,417.32x = 33,344,712.44
5. Step 5: Solve for x
   x = 33,344,712.44/6,417.32
6. Step 6: Final answer
   x = 5,196.05