Finding the Fourth Proportional to 6,507.56, 9,766.20 and 4,315.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,507.56 : 9,766.20 = 4,315.52 : x
2. Step 2: Convert to fraction form
   6,507.56/9,766.20 = 4,315.52/x
3. Step 3: Cross multiply
   6,507.56x = 9,766.20 × 4,315.52
4. Step 4: Simplify right side
   6,507.56x = 42,146,231.42
5. Step 5: Solve for x
   x = 42,146,231.42/6,507.56
6. Step 6: Final answer
   x = 6,476.50