Finding the Fourth Proportional to 9,680.54, 14,519.06 and 2,564.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680.54 : 14,519.06 = 2,564.82 : x
2. Step 2: Convert to fraction form
   9,680.54/14,519.06 = 2,564.82/x
3. Step 3: Cross multiply
   9,680.54x = 14,519.06 × 2,564.82
4. Step 4: Simplify right side
   9,680.54x = 37,238,762.65
5. Step 5: Solve for x
   x = 37,238,762.65/9,680.54
6. Step 6: Final answer
   x = 3,846.77