Finding the Fourth Proportional to 3,665.34, 5,055.86 and 2,406.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,665.34 : 5,055.86 = 2,406.47 : x
2. Step 2: Convert to fraction form
   3,665.34/5,055.86 = 2,406.47/x
3. Step 3: Cross multiply
   3,665.34x = 5,055.86 × 2,406.47
4. Step 4: Simplify right side
   3,665.34x = 12,166,756.15
5. Step 5: Solve for x
   x = 12,166,756.15/3,665.34
6. Step 6: Final answer
   x = 3,319.41