Finding the Fourth Proportional to 12,897.72, 17,802.63 and 8,422.14

Step by Step Solution

1. Step 1: Write the proportion equation
   12,897.72 : 17,802.63 = 8,422.14 : x
2. Step 2: Convert to fraction form
   12,897.72/17,802.63 = 8,422.14/x
3. Step 3: Cross multiply
   12,897.72x = 17,802.63 × 8,422.14
4. Step 4: Simplify right side
   12,897.72x = 149,936,242.23
5. Step 5: Solve for x
   x = 149,936,242.23/12,897.72
6. Step 6: Final answer
   x = 11,625.02