Finding the Fourth Proportional to 16,689.63, 23,031.71 and 10,402

Step by Step Solution

1. Step 1: Write the proportion equation
   16,689.63 : 23,031.71 = 10,402 : x
2. Step 2: Convert to fraction form
   16,689.63/23,031.71 = 10,402/x
3. Step 3: Cross multiply
   16,689.63x = 23,031.71 × 10,402
4. Step 4: Simplify right side
   16,689.63x = 239,575,847.42
5. Step 5: Solve for x
   x = 239,575,847.42/16,689.63
6. Step 6: Final answer
   x = 14,354.77