Finding the Fourth Proportional to 2,406.56, 3,608.28 and 1,582.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406.56 : 3,608.28 = 1,582.34 : x
2. Step 2: Convert to fraction form
   2,406.56/3,608.28 = 1,582.34/x
3. Step 3: Cross multiply
   2,406.56x = 3,608.28 × 1,582.34
4. Step 4: Simplify right side
   2,406.56x = 5,709,514.41
5. Step 5: Solve for x
   x = 5,709,514.41/2,406.56
6. Step 6: Final answer
   x = 2,372.48