Finding the Fourth Proportional to 2,569.88, 3,856.50 and 1,031

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.88 : 3,856.50 = 1,031 : x
2. Step 2: Convert to fraction form
   2,569.88/3,856.50 = 1,031/x
3. Step 3: Cross multiply
   2,569.88x = 3,856.50 × 1,031
4. Step 4: Simplify right side
   2,569.88x = 3,976,051.50
5. Step 5: Solve for x
   x = 3,976,051.50/2,569.88
6. Step 6: Final answer
   x = 1,547.17