Finding the Fourth Proportional to 5,498.57, 7,589.34 and 3,142.08

Step by Step Solution

1. Step 1: Write the proportion equation
   5,498.57 : 7,589.34 = 3,142.08 : x
2. Step 2: Convert to fraction form
   5,498.57/7,589.34 = 3,142.08/x
3. Step 3: Cross multiply
   5,498.57x = 7,589.34 × 3,142.08
4. Step 4: Simplify right side
   5,498.57x = 23,846,313.43
5. Step 5: Solve for x
   x = 23,846,313.43/5,498.57
6. Step 6: Final answer
   x = 4,336.82