Finding the Fourth Proportional to 6,460.16, 9,677.48 and 5,066.55

Step by Step Solution

1. Step 1: Write the proportion equation
   6,460.16 : 9,677.48 = 5,066.55 : x
2. Step 2: Convert to fraction form
   6,460.16/9,677.48 = 5,066.55/x
3. Step 3: Cross multiply
   6,460.16x = 9,677.48 × 5,066.55
4. Step 4: Simplify right side
   6,460.16x = 49,031,410.96
5. Step 5: Solve for x
   x = 49,031,410.96/6,460.16
6. Step 6: Final answer
   x = 7,589.82