Finding the Fourth Proportional to 2,566.91, 3,851.55 and 1,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.91 : 3,851.55 = 1,006.50 : x
2. Step 2: Convert to fraction form
   2,566.91/3,851.55 = 1,006.50/x
3. Step 3: Cross multiply
   2,566.91x = 3,851.55 × 1,006.50
4. Step 4: Simplify right side
   2,566.91x = 3,876,585.08
5. Step 5: Solve for x
   x = 3,876,585.08/2,566.91
6. Step 6: Final answer
   x = 1,510.22