Finding the Fourth Proportional to 12,616.28, 17,409.63 and 7,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,616.28 : 17,409.63 = 7,577.50 : x
2. Step 2: Convert to fraction form
   12,616.28/17,409.63 = 7,577.50/x
3. Step 3: Cross multiply
   12,616.28x = 17,409.63 × 7,577.50
4. Step 4: Simplify right side
   12,616.28x = 131,921,471.33
5. Step 5: Solve for x
   x = 131,921,471.33/12,616.28
6. Step 6: Final answer
   x = 10,456.45