Finding the Fourth Proportional to 16,854, 23,258.52 and 9,402

Step by Step Solution

1. Step 1: Write the proportion equation
   16,854 : 23,258.52 = 9,402 : x
2. Step 2: Convert to fraction form
   16,854/23,258.52 = 9,402/x
3. Step 3: Cross multiply
   16,854x = 23,258.52 × 9,402
4. Step 4: Simplify right side
   16,854x = 218,676,605.04
5. Step 5: Solve for x
   x = 218,676,605.04/16,854
6. Step 6: Final answer
   x = 12,974.76