Finding the Fourth Proportional to 10,171.35, 14,049.72 and 7,842.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,171.35 : 14,049.72 = 7,842.33 : x
2. Step 2: Convert to fraction form
   10,171.35/14,049.72 = 7,842.33/x
3. Step 3: Cross multiply
   10,171.35x = 14,049.72 × 7,842.33
4. Step 4: Simplify right side
   10,171.35x = 110,182,540.65
5. Step 5: Solve for x
   x = 110,182,540.65/10,171.35
6. Step 6: Final answer
   x = 10,832.64