Finding the Fourth Proportional to 2,462.16, 3,689.40 and 2,185.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.16 : 3,689.40 = 2,185.08 : x
2. Step 2: Convert to fraction form
   2,462.16/3,689.40 = 2,185.08/x
3. Step 3: Cross multiply
   2,462.16x = 3,689.40 × 2,185.08
4. Step 4: Simplify right side
   2,462.16x = 8,061,634.15
5. Step 5: Solve for x
   x = 8,061,634.15/2,462.16
6. Step 6: Final answer
   x = 3,274.21