Finding the Fourth Proportional to 8,816.50, 12,166.77 and 5,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,816.50 : 12,166.77 = 5,090.50 : x
2. Step 2: Convert to fraction form
   8,816.50/12,166.77 = 5,090.50/x
3. Step 3: Cross multiply
   8,816.50x = 12,166.77 × 5,090.50
4. Step 4: Simplify right side
   8,816.50x = 61,934,942.69
5. Step 5: Solve for x
   x = 61,934,942.69/8,816.50
6. Step 6: Final answer
   x = 7,024.89