Finding the Fourth Proportional to 11,665.99, 16,096.17 and 7,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,665.99 : 16,096.17 = 7,127.50 : x
2. Step 2: Convert to fraction form
   11,665.99/16,096.17 = 7,127.50/x
3. Step 3: Cross multiply
   11,665.99x = 16,096.17 × 7,127.50
4. Step 4: Simplify right side
   11,665.99x = 114,725,451.68
5. Step 5: Solve for x
   x = 114,725,451.68/11,665.99
6. Step 6: Final answer
   x = 9,834.18