Finding the Fourth Proportional to 3,839.40, 5,758.56 and 1,242

Step by Step Solution

1. Step 1: Write the proportion equation
   3,839.40 : 5,758.56 = 1,242 : x
2. Step 2: Convert to fraction form
   3,839.40/5,758.56 = 1,242/x
3. Step 3: Cross multiply
   3,839.40x = 5,758.56 × 1,242
4. Step 4: Simplify right side
   3,839.40x = 7,152,131.52
5. Step 5: Solve for x
   x = 7,152,131.52/3,839.40
6. Step 6: Final answer
   x = 1,862.83