Finding the Fourth Proportional to 2,566.75, 3,848.57 and 1,004.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.75 : 3,848.57 = 1,004.89 : x
2. Step 2: Convert to fraction form
   2,566.75/3,848.57 = 1,004.89/x
3. Step 3: Cross multiply
   2,566.75x = 3,848.57 × 1,004.89
4. Step 4: Simplify right side
   2,566.75x = 3,867,389.51
5. Step 5: Solve for x
   x = 3,867,389.51/2,566.75
6. Step 6: Final answer
   x = 1,506.73