Finding the Fourth Proportional to 2,564.88, 3,845.03 and 1,006.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.88 : 3,845.03 = 1,006.00 : x
2. Step 2: Convert to fraction form
   2,564.88/3,845.03 = 1,006.00/x
3. Step 3: Cross multiply
   2,564.88x = 3,845.03 × 1,006.00
4. Step 4: Simplify right side
   2,564.88x = 3,868,083.47
5. Step 5: Solve for x
   x = 3,868,083.47/2,564.88
6. Step 6: Final answer
   x = 1,508.10