Finding the Fourth Proportional to 9,922.78, 13,693.84 and 5,674.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,922.78 : 13,693.84 = 5,674.53 : x
2. Step 2: Convert to fraction form
   9,922.78/13,693.84 = 5,674.53/x
3. Step 3: Cross multiply
   9,922.78x = 13,693.84 × 5,674.53
4. Step 4: Simplify right side
   9,922.78x = 77,706,105.90
5. Step 5: Solve for x
   x = 77,706,105.90/9,922.78
6. Step 6: Final answer
   x = 7,831.08