Finding the Fourth Proportional to 2,566.49, 3,847.30 and 1,007.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.49 : 3,847.30 = 1,007.49 : x
2. Step 2: Convert to fraction form
   2,566.49/3,847.30 = 1,007.49/x
3. Step 3: Cross multiply
   2,566.49x = 3,847.30 × 1,007.49
4. Step 4: Simplify right side
   2,566.49x = 3,876,106.54
5. Step 5: Solve for x
   x = 3,876,106.54/2,566.49
6. Step 6: Final answer
   x = 1,510.28