Finding the Fourth Proportional to 2,567.56, 3,848.52 and 1,007.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.56 : 3,848.52 = 1,007.09 : x
2. Step 2: Convert to fraction form
   2,567.56/3,848.52 = 1,007.09/x
3. Step 3: Cross multiply
   2,567.56x = 3,848.52 × 1,007.09
4. Step 4: Simplify right side
   2,567.56x = 3,875,806.01
5. Step 5: Solve for x
   x = 3,875,806.01/2,567.56
6. Step 6: Final answer
   x = 1,509.53