Finding the Fourth Proportional to 10,429.65, 14,392.83 and 5,713.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.65 : 14,392.83 = 5,713.83 : x
2. Step 2: Convert to fraction form
   10,429.65/14,392.83 = 5,713.83/x
3. Step 3: Cross multiply
   10,429.65x = 14,392.83 × 5,713.83
4. Step 4: Simplify right side
   10,429.65x = 82,238,183.84
5. Step 5: Solve for x
   x = 82,238,183.84/10,429.65
6. Step 6: Final answer
   x = 7,885.04