Finding the Fourth Proportional to 16,454, 22,706.52 and 9,002

Step by Step Solution

1. Step 1: Write the proportion equation
   16,454 : 22,706.52 = 9,002 : x
2. Step 2: Convert to fraction form
   16,454/22,706.52 = 9,002/x
3. Step 3: Cross multiply
   16,454x = 22,706.52 × 9,002
4. Step 4: Simplify right side
   16,454x = 204,404,093.04
5. Step 5: Solve for x
   x = 204,404,093.04/16,454
6. Step 6: Final answer
   x = 12,422.76