Finding the Fourth Proportional to 2,468.16, 3,406.06 and 1,584.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,468.16 : 3,406.06 = 1,584.48 : x
2. Step 2: Convert to fraction form
   2,468.16/3,406.06 = 1,584.48/x
3. Step 3: Cross multiply
   2,468.16x = 3,406.06 × 1,584.48
4. Step 4: Simplify right side
   2,468.16x = 5,396,833.95
5. Step 5: Solve for x
   x = 5,396,833.95/2,468.16
6. Step 6: Final answer
   x = 2,186.58