Finding the Fourth Proportional to 2,507.49, 3,761.48 and 863.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.49 : 3,761.48 = 863.82 : x
2. Step 2: Convert to fraction form
   2,507.49/3,761.48 = 863.82/x
3. Step 3: Cross multiply
   2,507.49x = 3,761.48 × 863.82
4. Step 4: Simplify right side
   2,507.49x = 3,249,243.81
5. Step 5: Solve for x
   x = 3,249,243.81/2,507.49
6. Step 6: Final answer
   x = 1,295.82