Finding the Fourth Proportional to 9,682.10, 14,534.10 and 3,842.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682.10 : 14,534.10 = 3,842.82 : x
2. Step 2: Convert to fraction form
   9,682.10/14,534.10 = 3,842.82/x
3. Step 3: Cross multiply
   9,682.10x = 14,534.10 × 3,842.82
4. Step 4: Simplify right side
   9,682.10x = 55,851,930.16
5. Step 5: Solve for x
   x = 55,851,930.16/9,682.10
6. Step 6: Final answer
   x = 5,768.58