Finding the Fourth Proportional to 12,866.94, 17,756.34 and 7,564.80

Step by Step Solution

1. Step 1: Write the proportion equation
   12,866.94 : 17,756.34 = 7,564.80 : x
2. Step 2: Convert to fraction form
   12,866.94/17,756.34 = 7,564.80/x
3. Step 3: Cross multiply
   12,866.94x = 17,756.34 × 7,564.80
4. Step 4: Simplify right side
   12,866.94x = 134,323,160.83
5. Step 5: Solve for x
   x = 134,323,160.83/12,866.94
6. Step 6: Final answer
   x = 10,439.40