Finding the Fourth Proportional to 3,830.10, 5,286.86 and 2,416.15

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.10 : 5,286.86 = 2,416.15 : x
2. Step 2: Convert to fraction form
   3,830.10/5,286.86 = 2,416.15/x
3. Step 3: Cross multiply
   3,830.10x = 5,286.86 × 2,416.15
4. Step 4: Simplify right side
   3,830.10x = 12,773,846.79
5. Step 5: Solve for x
   x = 12,773,846.79/3,830.10
6. Step 6: Final answer
   x = 3,335.12