Finding the Fourth Proportional to 9,758.29, 14,624.66 and 3,919

Step by Step Solution

1. Step 1: Write the proportion equation
   9,758.29 : 14,624.66 = 3,919 : x
2. Step 2: Convert to fraction form
   9,758.29/14,624.66 = 3,919/x
3. Step 3: Cross multiply
   9,758.29x = 14,624.66 × 3,919
4. Step 4: Simplify right side
   9,758.29x = 57,314,042.54
5. Step 5: Solve for x
   x = 57,314,042.54/9,758.29
6. Step 6: Final answer
   x = 5,873.37