Finding the Fourth Proportional to 5,414.36, 7,469.55 and 3,642.89

Step by Step Solution

1. Step 1: Write the proportion equation
   5,414.36 : 7,469.55 = 3,642.89 : x
2. Step 2: Convert to fraction form
   5,414.36/7,469.55 = 3,642.89/x
3. Step 3: Cross multiply
   5,414.36x = 7,469.55 × 3,642.89
4. Step 4: Simplify right side
   5,414.36x = 27,210,711.65
5. Step 5: Solve for x
   x = 27,210,711.65/5,414.36
6. Step 6: Final answer
   x = 5,025.66