Finding the Fourth Proportional to 9,714.94, 14,555.67 and 7,648.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.94 : 14,555.67 = 7,648.18 : x
2. Step 2: Convert to fraction form
   9,714.94/14,555.67 = 7,648.18/x
3. Step 3: Cross multiply
   9,714.94x = 14,555.67 × 7,648.18
4. Step 4: Simplify right side
   9,714.94x = 111,324,384.18
5. Step 5: Solve for x
   x = 111,324,384.18/9,714.94
6. Step 6: Final answer
   x = 11,459.09