Finding the Fourth Proportional to 9,569.84, 13,206.72 and 5,378

Step by Step Solution

1. Step 1: Write the proportion equation
   9,569.84 : 13,206.72 = 5,378 : x
2. Step 2: Convert to fraction form
   9,569.84/13,206.72 = 5,378/x
3. Step 3: Cross multiply
   9,569.84x = 13,206.72 × 5,378
4. Step 4: Simplify right side
   9,569.84x = 71,025,740.16
5. Step 5: Solve for x
   x = 71,025,740.16/9,569.84
6. Step 6: Final answer
   x = 7,421.83