Finding the Fourth Proportional to 8,461.16, 12,679.50 and 5,825.96

Step by Step Solution

1. Step 1: Write the proportion equation
   8,461.16 : 12,679.50 = 5,825.96 : x
2. Step 2: Convert to fraction form
   8,461.16/12,679.50 = 5,825.96/x
3. Step 3: Cross multiply
   8,461.16x = 12,679.50 × 5,825.96
4. Step 4: Simplify right side
   8,461.16x = 73,870,259.82
5. Step 5: Solve for x
   x = 73,870,259.82/8,461.16
6. Step 6: Final answer
   x = 8,730.51