Finding the Fourth Proportional to 9,682.56, 14,536.56 and 5,741.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682.56 : 14,536.56 = 5,741.04 : x
2. Step 2: Convert to fraction form
   9,682.56/14,536.56 = 5,741.04/x
3. Step 3: Cross multiply
   9,682.56x = 14,536.56 × 5,741.04
4. Step 4: Simplify right side
   9,682.56x = 83,454,972.42
5. Step 5: Solve for x
   x = 83,454,972.42/9,682.56
6. Step 6: Final answer
   x = 8,619.10