Finding the Fourth Proportional to 10,429.56, 15,643.42 and 3,855.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,429.56 : 15,643.42 = 3,855.80 : x
2. Step 2: Convert to fraction form
   10,429.56/15,643.42 = 3,855.80/x
3. Step 3: Cross multiply
   10,429.56x = 15,643.42 × 3,855.80
4. Step 4: Simplify right side
   10,429.56x = 60,317,898.84
5. Step 5: Solve for x
   x = 60,317,898.84/10,429.56
6. Step 6: Final answer
   x = 5,783.36