Finding the Fourth Proportional to 12,802.12, 17,667.95 and 7,138.71

Step by Step Solution

1. Step 1: Write the proportion equation
   12,802.12 : 17,667.95 = 7,138.71 : x
2. Step 2: Convert to fraction form
   12,802.12/17,667.95 = 7,138.71/x
3. Step 3: Cross multiply
   12,802.12x = 17,667.95 × 7,138.71
4. Step 4: Simplify right side
   12,802.12x = 126,126,371.34
5. Step 5: Solve for x
   x = 126,126,371.34/12,802.12
6. Step 6: Final answer
   x = 9,851.99