Finding the Fourth Proportional to 9,913.50, 13,680.90 and 5,722.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,913.50 : 13,680.90 = 5,722.02 : x
2. Step 2: Convert to fraction form
   9,913.50/13,680.90 = 5,722.02/x
3. Step 3: Cross multiply
   9,913.50x = 13,680.90 × 5,722.02
4. Step 4: Simplify right side
   9,913.50x = 78,282,383.42
5. Step 5: Solve for x
   x = 78,282,383.42/9,913.50
6. Step 6: Final answer
   x = 7,896.54