Finding the Fourth Proportional to 9,543.31, 13,169.53 and 5,564.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,543.31 : 13,169.53 = 5,564.16 : x
2. Step 2: Convert to fraction form
   9,543.31/13,169.53 = 5,564.16/x
3. Step 3: Cross multiply
   9,543.31x = 13,169.53 × 5,564.16
4. Step 4: Simplify right side
   9,543.31x = 73,277,372.04
5. Step 5: Solve for x
   x = 73,277,372.04/9,543.31
6. Step 6: Final answer
   x = 7,678.40