Finding the Fourth Proportional to 12,546.25, 17,314.37 and 7,509.52

Step by Step Solution

1. Step 1: Write the proportion equation
   12,546.25 : 17,314.37 = 7,509.52 : x
2. Step 2: Convert to fraction form
   12,546.25/17,314.37 = 7,509.52/x
3. Step 3: Cross multiply
   12,546.25x = 17,314.37 × 7,509.52
4. Step 4: Simplify right side
   12,546.25x = 130,022,607.80
5. Step 5: Solve for x
   x = 130,022,607.80/12,546.25
6. Step 6: Final answer
   x = 10,363.46