Finding the Fourth Proportional to 2,509.83, 3,764.34 and 1,582.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.83 : 3,764.34 = 1,582.56 : x
2. Step 2: Convert to fraction form
   2,509.83/3,764.34 = 1,582.56/x
3. Step 3: Cross multiply
   2,509.83x = 3,764.34 × 1,582.56
4. Step 4: Simplify right side
   2,509.83x = 5,957,293.91
5. Step 5: Solve for x
   x = 5,957,293.91/2,509.83
6. Step 6: Final answer
   x = 2,373.58