Finding the Fourth Proportional to 9,922.82, 13,693.24 and 5,446.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,922.82 : 13,693.24 = 5,446.56 : x
2. Step 2: Convert to fraction form
   9,922.82/13,693.24 = 5,446.56/x
3. Step 3: Cross multiply
   9,922.82x = 13,693.24 × 5,446.56
4. Step 4: Simplify right side
   9,922.82x = 74,581,053.25
5. Step 5: Solve for x
   x = 74,581,053.25/9,922.82
6. Step 6: Final answer
   x = 7,516.11