Finding the Fourth Proportional to 5,496.42, 7,584.69 and 3,400.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,496.42 : 7,584.69 = 3,400.14 : x
2. Step 2: Convert to fraction form
   5,496.42/7,584.69 = 3,400.14/x
3. Step 3: Cross multiply
   5,496.42x = 7,584.69 × 3,400.14
4. Step 4: Simplify right side
   5,496.42x = 25,789,007.86
5. Step 5: Solve for x
   x = 25,789,007.86/5,496.42
6. Step 6: Final answer
   x = 4,691.96