Finding the Fourth Proportional to 2,566.76, 3,850.34 and 1,006.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.76 : 3,850.34 = 1,006.02 : x
2. Step 2: Convert to fraction form
   2,566.76/3,850.34 = 1,006.02/x
3. Step 3: Cross multiply
   2,566.76x = 3,850.34 × 1,006.02
4. Step 4: Simplify right side
   2,566.76x = 3,873,514.02
5. Step 5: Solve for x
   x = 3,873,514.02/2,566.76
6. Step 6: Final answer
   x = 1,509.11