Finding the Fourth Proportional to 2,564.72, 3,846.44 and 1,004.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.72 : 3,846.44 = 1,004.76 : x
2. Step 2: Convert to fraction form
   2,564.72/3,846.44 = 1,004.76/x
3. Step 3: Cross multiply
   2,564.72x = 3,846.44 × 1,004.76
4. Step 4: Simplify right side
   2,564.72x = 3,864,749.05
5. Step 5: Solve for x
   x = 3,864,749.05/2,564.72
6. Step 6: Final answer
   x = 1,506.89