Finding the Fourth Proportional to 11,664.50, 16,096.98 and 7,127.14

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664.50 : 16,096.98 = 7,127.14 : x
2. Step 2: Convert to fraction form
   11,664.50/16,096.98 = 7,127.14/x
3. Step 3: Cross multiply
   11,664.50x = 16,096.98 × 7,127.14
4. Step 4: Simplify right side
   11,664.50x = 114,725,430.04
5. Step 5: Solve for x
   x = 114,725,430.04/11,664.50
6. Step 6: Final answer
   x = 9,835.43