Finding the Fourth Proportional to 9,166.72, 12,653.28 and 5,630.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,166.72 : 12,653.28 = 5,630.26 : x
2. Step 2: Convert to fraction form
   9,166.72/12,653.28 = 5,630.26/x
3. Step 3: Cross multiply
   9,166.72x = 12,653.28 × 5,630.26
4. Step 4: Simplify right side
   9,166.72x = 71,241,256.25
5. Step 5: Solve for x
   x = 71,241,256.25/9,166.72
6. Step 6: Final answer
   x = 7,771.73