Finding the Fourth Proportional to 9,564.62, 14,316.22 and 5,111.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564.62 : 14,316.22 = 5,111.16 : x
2. Step 2: Convert to fraction form
   9,564.62/14,316.22 = 5,111.16/x
3. Step 3: Cross multiply
   9,564.62x = 14,316.22 × 5,111.16
4. Step 4: Simplify right side
   9,564.62x = 73,172,491.02
5. Step 5: Solve for x
   x = 73,172,491.02/9,564.62
6. Step 6: Final answer
   x = 7,650.33