Finding the Fourth Proportional to 9,839.25, 14,767.42 and 5,162.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.25 : 14,767.42 = 5,162.58 : x
2. Step 2: Convert to fraction form
   9,839.25/14,767.42 = 5,162.58/x
3. Step 3: Cross multiply
   9,839.25x = 14,767.42 × 5,162.58
4. Step 4: Simplify right side
   9,839.25x = 76,237,987.14
5. Step 5: Solve for x
   x = 76,237,987.14/9,839.25
6. Step 6: Final answer
   x = 7,748.35