Finding the Fourth Proportional to 6,780.98, 10,147.88 and 4,147.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,780.98 : 10,147.88 = 4,147.34 : x
2. Step 2: Convert to fraction form
   6,780.98/10,147.88 = 4,147.34/x
3. Step 3: Cross multiply
   6,780.98x = 10,147.88 × 4,147.34
4. Step 4: Simplify right side
   6,780.98x = 42,086,668.27
5. Step 5: Solve for x
   x = 42,086,668.27/6,780.98
6. Step 6: Final answer
   x = 6,206.57