Finding the Fourth Proportional to 2,464.12, 3,695.94 and 1,584.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.12 : 3,695.94 = 1,584.30 : x
2. Step 2: Convert to fraction form
   2,464.12/3,695.94 = 1,584.30/x
3. Step 3: Cross multiply
   2,464.12x = 3,695.94 × 1,584.30
4. Step 4: Simplify right side
   2,464.12x = 5,855,477.74
5. Step 5: Solve for x
   x = 5,855,477.74/2,464.12
6. Step 6: Final answer
   x = 2,376.30