Finding the Fourth Proportional to 6,142.91, 8,478.22 and 3,625.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.91 : 8,478.22 = 3,625.63 : x
2. Step 2: Convert to fraction form
   6,142.91/8,478.22 = 3,625.63/x
3. Step 3: Cross multiply
   6,142.91x = 8,478.22 × 3,625.63
4. Step 4: Simplify right side
   6,142.91x = 30,738,865.32
5. Step 5: Solve for x
   x = 30,738,865.32/6,142.91
6. Step 6: Final answer
   x = 5,003.96