Finding the Fourth Proportional to 12,178.10, 18,259.86 and 5,609.82

Step by Step Solution

1. Step 1: Write the proportion equation
   12,178.10 : 18,259.86 = 5,609.82 : x
2. Step 2: Convert to fraction form
   12,178.10/18,259.86 = 5,609.82/x
3. Step 3: Cross multiply
   12,178.10x = 18,259.86 × 5,609.82
4. Step 4: Simplify right side
   12,178.10x = 102,434,527.83
5. Step 5: Solve for x
   x = 102,434,527.83/12,178.10
6. Step 6: Final answer
   x = 8,411.37