Finding the Fourth Proportional to 7,142.33, 9,847.26 and 5,546.27

Step by Step Solution

1. Step 1: Write the proportion equation
   7,142.33 : 9,847.26 = 5,546.27 : x
2. Step 2: Convert to fraction form
   7,142.33/9,847.26 = 5,546.27/x
3. Step 3: Cross multiply
   7,142.33x = 9,847.26 × 5,546.27
4. Step 4: Simplify right side
   7,142.33x = 54,615,587.34
5. Step 5: Solve for x
   x = 54,615,587.34/7,142.33
6. Step 6: Final answer
   x = 7,646.74