Finding the Fourth Proportional to 2,406.78, 3,605.50 and 1,582.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406.78 : 3,605.50 = 1,582.55 : x
2. Step 2: Convert to fraction form
   2,406.78/3,605.50 = 1,582.55/x
3. Step 3: Cross multiply
   2,406.78x = 3,605.50 × 1,582.55
4. Step 4: Simplify right side
   2,406.78x = 5,705,884.03
5. Step 5: Solve for x
   x = 5,705,884.03/2,406.78
6. Step 6: Final answer
   x = 2,370.75