Finding the Fourth Proportional to 12,617.28, 17,411.01 and 7,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,617.28 : 17,411.01 = 7,578.50 : x
2. Step 2: Convert to fraction form
   12,617.28/17,411.01 = 7,578.50/x
3. Step 3: Cross multiply
   12,617.28x = 17,411.01 × 7,578.50
4. Step 4: Simplify right side
   12,617.28x = 131,949,339.29
5. Step 5: Solve for x
   x = 131,949,339.29/12,617.28
6. Step 6: Final answer
   x = 10,457.83