Finding the Fourth Proportional to 12,802.14, 17,667.03 and 7,137.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,802.14 : 17,667.03 = 7,137.25 : x
2. Step 2: Convert to fraction form
   12,802.14/17,667.03 = 7,137.25/x
3. Step 3: Cross multiply
   12,802.14x = 17,667.03 × 7,137.25
4. Step 4: Simplify right side
   12,802.14x = 126,094,009.87
5. Step 5: Solve for x
   x = 126,094,009.87/12,802.14
6. Step 6: Final answer
   x = 9,849.45