Finding the Fourth Proportional to 6,429.83, 9,638.15 and 4,091.58

Step by Step Solution

1. Step 1: Write the proportion equation
   6,429.83 : 9,638.15 = 4,091.58 : x
2. Step 2: Convert to fraction form
   6,429.83/9,638.15 = 4,091.58/x
3. Step 3: Cross multiply
   6,429.83x = 9,638.15 × 4,091.58
4. Step 4: Simplify right side
   6,429.83x = 39,435,241.32
5. Step 5: Solve for x
   x = 39,435,241.32/6,429.83
6. Step 6: Final answer
   x = 6,133.17