Finding the Fourth Proportional to 12,825.71, 17,698.57 and 7,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,825.71 : 17,698.57 = 7,519.50 : x
2. Step 2: Convert to fraction form
   12,825.71/17,698.57 = 7,519.50/x
3. Step 3: Cross multiply
   12,825.71x = 17,698.57 × 7,519.50
4. Step 4: Simplify right side
   12,825.71x = 133,084,378.32
5. Step 5: Solve for x
   x = 133,084,378.32/12,825.71
6. Step 6: Final answer
   x = 10,376.38