Finding the Fourth Proportional to 6,507.46, 9,742.69 and 4,311.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,507.46 : 9,742.69 = 4,311.82 : x
2. Step 2: Convert to fraction form
   6,507.46/9,742.69 = 4,311.82/x
3. Step 3: Cross multiply
   6,507.46x = 9,742.69 × 4,311.82
4. Step 4: Simplify right side
   6,507.46x = 42,008,725.60
5. Step 5: Solve for x
   x = 42,008,725.60/6,507.46
6. Step 6: Final answer
   x = 6,455.47