Finding the Fourth Proportional to 9,922.61, 13,693.62 and 5,942.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,922.61 : 13,693.62 = 5,942.96 : x
2. Step 2: Convert to fraction form
   9,922.61/13,693.62 = 5,942.96/x
3. Step 3: Cross multiply
   9,922.61x = 13,693.62 × 5,942.96
4. Step 4: Simplify right side
   9,922.61x = 81,380,567.45
5. Step 5: Solve for x
   x = 81,380,567.45/9,922.61
6. Step 6: Final answer
   x = 8,201.53