Finding the Fourth Proportional to 3,838, 5,756.31 and 1,026.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838 : 5,756.31 = 1,026.88 : x
2. Step 2: Convert to fraction form
   3,838/5,756.31 = 1,026.88/x
3. Step 3: Cross multiply
   3,838x = 5,756.31 × 1,026.88
4. Step 4: Simplify right side
   3,838x = 5,911,039.61
5. Step 5: Solve for x
   x = 5,911,039.61/3,838
6. Step 6: Final answer
   x = 1,540.14