Finding the Fourth Proportional to 7,577.82, 10,467.72 and 6,411.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,577.82 : 10,467.72 = 6,411.42 : x
2. Step 2: Convert to fraction form
   7,577.82/10,467.72 = 6,411.42/x
3. Step 3: Cross multiply
   7,577.82x = 10,467.72 × 6,411.42
4. Step 4: Simplify right side
   7,577.82x = 67,112,949.36
5. Step 5: Solve for x
   x = 67,112,949.36/7,577.82
6. Step 6: Final answer
   x = 8,856.50