Finding the Fourth Proportional to 7,665.32, 10,577.84 and 4,686.14

Step by Step Solution

1. Step 1: Write the proportion equation
   7,665.32 : 10,577.84 = 4,686.14 : x
2. Step 2: Convert to fraction form
   7,665.32/10,577.84 = 4,686.14/x
3. Step 3: Cross multiply
   7,665.32x = 10,577.84 × 4,686.14
4. Step 4: Simplify right side
   7,665.32x = 49,569,162.82
5. Step 5: Solve for x
   x = 49,569,162.82/7,665.32
6. Step 6: Final answer
   x = 6,466.68