Finding the Fourth Proportional to 2,509.43, 3,762.05 and 1,584.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.43 : 3,762.05 = 1,584.72 : x
2. Step 2: Convert to fraction form
   2,509.43/3,762.05 = 1,584.72/x
3. Step 3: Cross multiply
   2,509.43x = 3,762.05 × 1,584.72
4. Step 4: Simplify right side
   2,509.43x = 5,961,787.95
5. Step 5: Solve for x
   x = 5,961,787.95/2,509.43
6. Step 6: Final answer
   x = 2,375.76