Finding the Fourth Proportional to 9,615.42, 14,422.56 and 5,716.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,615.42 : 14,422.56 = 5,716.50 : x
2. Step 2: Convert to fraction form
   9,615.42/14,422.56 = 5,716.50/x
3. Step 3: Cross multiply
   9,615.42x = 14,422.56 × 5,716.50
4. Step 4: Simplify right side
   9,615.42x = 82,446,564.24
5. Step 5: Solve for x
   x = 82,446,564.24/9,615.42
6. Step 6: Final answer
   x = 8,574.41