Finding the Fourth Proportional to 6,714.29, 10,077.59 and 3,429.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,714.29 : 10,077.59 = 3,429.69 : x
2. Step 2: Convert to fraction form
   6,714.29/10,077.59 = 3,429.69/x
3. Step 3: Cross multiply
   6,714.29x = 10,077.59 × 3,429.69
4. Step 4: Simplify right side
   6,714.29x = 34,563,009.65
5. Step 5: Solve for x
   x = 34,563,009.65/6,714.29
6. Step 6: Final answer
   x = 5,147.68