Finding the Fourth Proportional to 9,540.77, 13,166.20 and 5,233.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540.77 : 13,166.20 = 5,233.96 : x
2. Step 2: Convert to fraction form
   9,540.77/13,166.20 = 5,233.96/x
3. Step 3: Cross multiply
   9,540.77x = 13,166.20 × 5,233.96
4. Step 4: Simplify right side
   9,540.77x = 68,911,364.15
5. Step 5: Solve for x
   x = 68,911,364.15/9,540.77
6. Step 6: Final answer
   x = 7,222.83