Finding the Fourth Proportional to 16,585.98, 22,889.34 and 9,513.78

Step by Step Solution

1. Step 1: Write the proportion equation
   16,585.98 : 22,889.34 = 9,513.78 : x
2. Step 2: Convert to fraction form
   16,585.98/22,889.34 = 9,513.78/x
3. Step 3: Cross multiply
   16,585.98x = 22,889.34 × 9,513.78
4. Step 4: Simplify right side
   16,585.98x = 217,764,145.11
5. Step 5: Solve for x
   x = 217,764,145.11/16,585.98
6. Step 6: Final answer
   x = 13,129.41