Finding the Fourth Proportional to 12,407.29, 18,584.20 and 5,823.61

Step by Step Solution

1. Step 1: Write the proportion equation
   12,407.29 : 18,584.20 = 5,823.61 : x
2. Step 2: Convert to fraction form
   12,407.29/18,584.20 = 5,823.61/x
3. Step 3: Cross multiply
   12,407.29x = 18,584.20 × 5,823.61
4. Step 4: Simplify right side
   12,407.29x = 108,227,093.78
5. Step 5: Solve for x
   x = 108,227,093.78/12,407.29
6. Step 6: Final answer
   x = 8,722.86