Finding the Fourth Proportional to 9,066.50, 13,599.76 and 5,776.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,066.50 : 13,599.76 = 5,776.28 : x
2. Step 2: Convert to fraction form
   9,066.50/13,599.76 = 5,776.28/x
3. Step 3: Cross multiply
   9,066.50x = 13,599.76 × 5,776.28
4. Step 4: Simplify right side
   9,066.50x = 78,556,021.69
5. Step 5: Solve for x
   x = 78,556,021.69/9,066.50
6. Step 6: Final answer
   x = 8,664.43