Finding the Fourth Proportional to 9,563.13, 13,196.70 and 5,314.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,563.13 : 13,196.70 = 5,314.47 : x
2. Step 2: Convert to fraction form
   9,563.13/13,196.70 = 5,314.47/x
3. Step 3: Cross multiply
   9,563.13x = 13,196.70 × 5,314.47
4. Step 4: Simplify right side
   9,563.13x = 70,133,466.25
5. Step 5: Solve for x
   x = 70,133,466.25/9,563.13
6. Step 6: Final answer
   x = 7,333.74