Finding the Fourth Proportional to 6,142.40, 8,476.86 and 4,647.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.40 : 8,476.86 = 4,647.72 : x
2. Step 2: Convert to fraction form
   6,142.40/8,476.86 = 4,647.72/x
3. Step 3: Cross multiply
   6,142.40x = 8,476.86 × 4,647.72
4. Step 4: Simplify right side
   6,142.40x = 39,398,048.52
5. Step 5: Solve for x
   x = 39,398,048.52/6,142.40
6. Step 6: Final answer
   x = 6,414.12