Finding the Fourth Proportional to 2,566.85, 3,850.69 and 1,006.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.85 : 3,850.69 = 1,006.01 : x
2. Step 2: Convert to fraction form
   2,566.85/3,850.69 = 1,006.01/x
3. Step 3: Cross multiply
   2,566.85x = 3,850.69 × 1,006.01
4. Step 4: Simplify right side
   2,566.85x = 3,873,817.58
5. Step 5: Solve for x
   x = 3,873,817.58/2,566.85
6. Step 6: Final answer
   x = 1,509.17