Finding the Fourth Proportional to 9,569.25, 13,206.78 and 5,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,569.25 : 13,206.78 = 5,377.50 : x
2. Step 2: Convert to fraction form
   9,569.25/13,206.78 = 5,377.50/x
3. Step 3: Cross multiply
   9,569.25x = 13,206.78 × 5,377.50
4. Step 4: Simplify right side
   9,569.25x = 71,019,459.45
5. Step 5: Solve for x
   x = 71,019,459.45/9,569.25
6. Step 6: Final answer
   x = 7,421.63