Finding the Fourth Proportional to 9,166.21, 12,647.77 and 5,630.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,166.21 : 12,647.77 = 5,630.56 : x
2. Step 2: Convert to fraction form
   9,166.21/12,647.77 = 5,630.56/x
3. Step 3: Cross multiply
   9,166.21x = 12,647.77 × 5,630.56
4. Step 4: Simplify right side
   9,166.21x = 71,214,069.14
5. Step 5: Solve for x
   x = 71,214,069.14/9,166.21
6. Step 6: Final answer
   x = 7,769.19