Finding the Fourth Proportional to 12,414.94, 18,597.40 and 5,742.02

Step by Step Solution

1. Step 1: Write the proportion equation
   12,414.94 : 18,597.40 = 5,742.02 : x
2. Step 2: Convert to fraction form
   12,414.94/18,597.40 = 5,742.02/x
3. Step 3: Cross multiply
   12,414.94x = 18,597.40 × 5,742.02
4. Step 4: Simplify right side
   12,414.94x = 106,786,674.89
5. Step 5: Solve for x
   x = 106,786,674.89/12,414.94
6. Step 6: Final answer
   x = 8,601.47