Finding the Fourth Proportional to 2,406.79, 3,605.46 and 1,582.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406.79 : 3,605.46 = 1,582.57 : x
2. Step 2: Convert to fraction form
   2,406.79/3,605.46 = 1,582.57/x
3. Step 3: Cross multiply
   2,406.79x = 3,605.46 × 1,582.57
4. Step 4: Simplify right side
   2,406.79x = 5,705,892.83
5. Step 5: Solve for x
   x = 5,705,892.83/2,406.79
6. Step 6: Final answer
   x = 2,370.75