Finding the Fourth Proportional to 5,142.27, 7,722.83 and 4,708.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142.27 : 7,722.83 = 4,708.52 : x
2. Step 2: Convert to fraction form
   5,142.27/7,722.83 = 4,708.52/x
3. Step 3: Cross multiply
   5,142.27x = 7,722.83 × 4,708.52
4. Step 4: Simplify right side
   5,142.27x = 36,363,099.51
5. Step 5: Solve for x
   x = 36,363,099.51/5,142.27
6. Step 6: Final answer
   x = 7,071.41