Finding the Fourth Proportional to 6,429.96, 9,642.06 and 3,311.70

Step by Step Solution

1. Step 1: Write the proportion equation
   6,429.96 : 9,642.06 = 3,311.70 : x
2. Step 2: Convert to fraction form
   6,429.96/9,642.06 = 3,311.70/x
3. Step 3: Cross multiply
   6,429.96x = 9,642.06 × 3,311.70
4. Step 4: Simplify right side
   6,429.96x = 31,931,610.10
5. Step 5: Solve for x
   x = 31,931,610.10/6,429.96
6. Step 6: Final answer
   x = 4,966.07