Finding the Fourth Proportional to 2,464.72, 3,685.20 and 2,406.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.72 : 3,685.20 = 2,406.40 : x
2. Step 2: Convert to fraction form
   2,464.72/3,685.20 = 2,406.40/x
3. Step 3: Cross multiply
   2,464.72x = 3,685.20 × 2,406.40
4. Step 4: Simplify right side
   2,464.72x = 8,868,065.28
5. Step 5: Solve for x
   x = 8,868,065.28/2,464.72
6. Step 6: Final answer
   x = 3,598.00