Finding the Fourth Proportional to 9,226.82, 12,730.10 and 5,687.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,226.82 : 12,730.10 = 5,687.48 : x
2. Step 2: Convert to fraction form
   9,226.82/12,730.10 = 5,687.48/x
3. Step 3: Cross multiply
   9,226.82x = 12,730.10 × 5,687.48
4. Step 4: Simplify right side
   9,226.82x = 72,402,189.15
5. Step 5: Solve for x
   x = 72,402,189.15/9,226.82
6. Step 6: Final answer
   x = 7,846.93