Finding the Fourth Proportional to 2,564.76, 3,847.68 and 1,004.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.76 : 3,847.68 = 1,004.80 : x
2. Step 2: Convert to fraction form
   2,564.76/3,847.68 = 1,004.80/x
3. Step 3: Cross multiply
   2,564.76x = 3,847.68 × 1,004.80
4. Step 4: Simplify right side
   2,564.76x = 3,866,148.86
5. Step 5: Solve for x
   x = 3,866,148.86/2,564.76
6. Step 6: Final answer
   x = 1,507.41