Finding the Fourth Proportional to 9,563.64, 13,196.36 and 5,371.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,563.64 : 13,196.36 = 5,371.08 : x
2. Step 2: Convert to fraction form
   9,563.64/13,196.36 = 5,371.08/x
3. Step 3: Cross multiply
   9,563.64x = 13,196.36 × 5,371.08
4. Step 4: Simplify right side
   9,563.64x = 70,878,705.27
5. Step 5: Solve for x
   x = 70,878,705.27/9,563.64
6. Step 6: Final answer
   x = 7,411.27