Finding the Fourth Proportional to 9,410.42, 14,113.57 and 3,858.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,410.42 : 14,113.57 = 3,858.30 : x
2. Step 2: Convert to fraction form
   9,410.42/14,113.57 = 3,858.30/x
3. Step 3: Cross multiply
   9,410.42x = 14,113.57 × 3,858.30
4. Step 4: Simplify right side
   9,410.42x = 54,454,387.13
5. Step 5: Solve for x
   x = 54,454,387.13/9,410.42
6. Step 6: Final answer
   x = 5,786.61