Finding the Fourth Proportional to 9,647.91, 13,314.18 and 5,617.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,647.91 : 13,314.18 = 5,617.14 : x
2. Step 2: Convert to fraction form
   9,647.91/13,314.18 = 5,617.14/x
3. Step 3: Cross multiply
   9,647.91x = 13,314.18 × 5,617.14
4. Step 4: Simplify right side
   9,647.91x = 74,787,613.05
5. Step 5: Solve for x
   x = 74,787,613.05/9,647.91
6. Step 6: Final answer
   x = 7,751.69