Finding the Fourth Proportional to 2,468.78, 3,405.24 and 1,585.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,468.78 : 3,405.24 = 1,585.65 : x
2. Step 2: Convert to fraction form
   2,468.78/3,405.24 = 1,585.65/x
3. Step 3: Cross multiply
   2,468.78x = 3,405.24 × 1,585.65
4. Step 4: Simplify right side
   2,468.78x = 5,399,518.81
5. Step 5: Solve for x
   x = 5,399,518.81/2,468.78
6. Step 6: Final answer
   x = 2,187.12