Finding the Fourth Proportional to 3,729.42, 5,146.87 and 2,468.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,729.42 : 5,146.87 = 2,468.30 : x
2. Step 2: Convert to fraction form
   3,729.42/5,146.87 = 2,468.30/x
3. Step 3: Cross multiply
   3,729.42x = 5,146.87 × 2,468.30
4. Step 4: Simplify right side
   3,729.42x = 12,704,019.22
5. Step 5: Solve for x
   x = 12,704,019.22/3,729.42
6. Step 6: Final answer
   x = 3,406.43