Finding the Fourth Proportional to 9,416.41, 14,116.56 and 3,866.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,416.41 : 14,116.56 = 3,866.29 : x
2. Step 2: Convert to fraction form
   9,416.41/14,116.56 = 3,866.29/x
3. Step 3: Cross multiply
   9,416.41x = 14,116.56 × 3,866.29
4. Step 4: Simplify right side
   9,416.41x = 54,578,714.76
5. Step 5: Solve for x
   x = 54,578,714.76/9,416.41
6. Step 6: Final answer
   x = 5,796.13