Finding the Fourth Proportional to 12,309.30, 16,982.01 and 7,585.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,309.30 : 16,982.01 = 7,585.38 : x
2. Step 2: Convert to fraction form
   12,309.30/16,982.01 = 7,585.38/x
3. Step 3: Cross multiply
   12,309.30x = 16,982.01 × 7,585.38
4. Step 4: Simplify right side
   12,309.30x = 128,814,999.01
5. Step 5: Solve for x
   x = 128,814,999.01/12,309.30
6. Step 6: Final answer
   x = 10,464.85