Finding the Fourth Proportional to 9,567.75, 13,204.71 and 5,376

Step by Step Solution

1. Step 1: Write the proportion equation
   9,567.75 : 13,204.71 = 5,376 : x
2. Step 2: Convert to fraction form
   9,567.75/13,204.71 = 5,376/x
3. Step 3: Cross multiply
   9,567.75x = 13,204.71 × 5,376
4. Step 4: Simplify right side
   9,567.75x = 70,988,520.96
5. Step 5: Solve for x
   x = 70,988,520.96/9,567.75
6. Step 6: Final answer
   x = 7,419.56