Finding the Fourth Proportional to 6,429.71, 9,628.83 and 5,806.41

Step by Step Solution

1. Step 1: Write the proportion equation
   6,429.71 : 9,628.83 = 5,806.41 : x
2. Step 2: Convert to fraction form
   6,429.71/9,628.83 = 5,806.41/x
3. Step 3: Cross multiply
   6,429.71x = 9,628.83 × 5,806.41
4. Step 4: Simplify right side
   6,429.71x = 55,908,934.80
5. Step 5: Solve for x
   x = 55,908,934.80/6,429.71
6. Step 6: Final answer
   x = 8,695.41