Finding the Fourth Proportional to 9,311.33, 13,953.83 and 5,153.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,311.33 : 13,953.83 = 5,153.20 : x
2. Step 2: Convert to fraction form
   9,311.33/13,953.83 = 5,153.20/x
3. Step 3: Cross multiply
   9,311.33x = 13,953.83 × 5,153.20
4. Step 4: Simplify right side
   9,311.33x = 71,906,876.76
5. Step 5: Solve for x
   x = 71,906,876.76/9,311.33
6. Step 6: Final answer
   x = 7,722.51