Finding the Fourth Proportional to 12,333.58, 18,510.72 and 6,414.10

Step by Step Solution

1. Step 1: Write the proportion equation
   12,333.58 : 18,510.72 = 6,414.10 : x
2. Step 2: Convert to fraction form
   12,333.58/18,510.72 = 6,414.10/x
3. Step 3: Cross multiply
   12,333.58x = 18,510.72 × 6,414.10
4. Step 4: Simplify right side
   12,333.58x = 118,729,609.15
5. Step 5: Solve for x
   x = 118,729,609.15/12,333.58
6. Step 6: Final answer
   x = 9,626.53