Finding the Fourth Proportional to 9,166.03, 12,648.42 and 5,629.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,166.03 : 12,648.42 = 5,629.30 : x
2. Step 2: Convert to fraction form
   9,166.03/12,648.42 = 5,629.30/x
3. Step 3: Cross multiply
   9,166.03x = 12,648.42 × 5,629.30
4. Step 4: Simplify right side
   9,166.03x = 71,201,719.08
5. Step 5: Solve for x
   x = 71,201,719.08/9,166.03
6. Step 6: Final answer
   x = 7,768.00