Finding the Fourth Proportional to 9,572.50, 13,210.50 and 5,380.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,572.50 : 13,210.50 = 5,380.75 : x
2. Step 2: Convert to fraction form
   9,572.50/13,210.50 = 5,380.75/x
3. Step 3: Cross multiply
   9,572.50x = 13,210.50 × 5,380.75
4. Step 4: Simplify right side
   9,572.50x = 71,082,397.88
5. Step 5: Solve for x
   x = 71,082,397.88/9,572.50
6. Step 6: Final answer
   x = 7,425.69