Finding the Fourth Proportional to 12,857.69, 17,742.69 and 7,192.14

Step by Step Solution

1. Step 1: Write the proportion equation
   12,857.69 : 17,742.69 = 7,192.14 : x
2. Step 2: Convert to fraction form
   12,857.69/17,742.69 = 7,192.14/x
3. Step 3: Cross multiply
   12,857.69x = 17,742.69 × 7,192.14
4. Step 4: Simplify right side
   12,857.69x = 127,607,910.46
5. Step 5: Solve for x
   x = 127,607,910.46/12,857.69
6. Step 6: Final answer
   x = 9,924.64