Finding the Fourth Proportional to 8,409.42, 12,597.71 and 5,114.34

Step by Step Solution

1. Step 1: Write the proportion equation
   8,409.42 : 12,597.71 = 5,114.34 : x
2. Step 2: Convert to fraction form
   8,409.42/12,597.71 = 5,114.34/x
3. Step 3: Cross multiply
   8,409.42x = 12,597.71 × 5,114.34
4. Step 4: Simplify right side
   8,409.42x = 64,428,972.16
5. Step 5: Solve for x
   x = 64,428,972.16/8,409.42
6. Step 6: Final answer
   x = 7,661.52