Finding the Fourth Proportional to 7,665.10, 10,577.97 and 4,215.83

Step by Step Solution

1. Step 1: Write the proportion equation
   7,665.10 : 10,577.97 = 4,215.83 : x
2. Step 2: Convert to fraction form
   7,665.10/10,577.97 = 4,215.83/x
3. Step 3: Cross multiply
   7,665.10x = 10,577.97 × 4,215.83
4. Step 4: Simplify right side
   7,665.10x = 44,594,923.27
5. Step 5: Solve for x
   x = 44,594,923.27/7,665.10
6. Step 6: Final answer
   x = 5,817.92