Finding the Fourth Proportional to 2,508.42, 3,762.76 and 1,584.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,508.42 : 3,762.76 = 1,584.74 : x
2. Step 2: Convert to fraction form
   2,508.42/3,762.76 = 1,584.74/x
3. Step 3: Cross multiply
   2,508.42x = 3,762.76 × 1,584.74
4. Step 4: Simplify right side
   2,508.42x = 5,962,996.28
5. Step 5: Solve for x
   x = 5,962,996.28/2,508.42
6. Step 6: Final answer
   x = 2,377.19