Finding the Fourth Proportional to 2,566.40, 3,851.76 and 1,007.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.40 : 3,851.76 = 1,007.49 : x
2. Step 2: Convert to fraction form
   2,566.40/3,851.76 = 1,007.49/x
3. Step 3: Cross multiply
   2,566.40x = 3,851.76 × 1,007.49
4. Step 4: Simplify right side
   2,566.40x = 3,880,621.41
5. Step 5: Solve for x
   x = 3,880,621.41/2,566.40
6. Step 6: Final answer
   x = 1,512.09