Finding the Fourth Proportional to 12,864.83, 17,757.90 and 9,876.87

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864.83 : 17,757.90 = 9,876.87 : x
2. Step 2: Convert to fraction form
   12,864.83/17,757.90 = 9,876.87/x
3. Step 3: Cross multiply
   12,864.83x = 17,757.90 × 9,876.87
4. Step 4: Simplify right side
   12,864.83x = 175,392,469.77
5. Step 5: Solve for x
   x = 175,392,469.77/12,864.83
6. Step 6: Final answer
   x = 13,633.49