Finding the Fourth Proportional to 9,922.12, 13,693.74 and 5,674.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,922.12 : 13,693.74 = 5,674.72 : x
2. Step 2: Convert to fraction form
   9,922.12/13,693.74 = 5,674.72/x
3. Step 3: Cross multiply
   9,922.12x = 13,693.74 × 5,674.72
4. Step 4: Simplify right side
   9,922.12x = 77,708,140.25
5. Step 5: Solve for x
   x = 77,708,140.25/9,922.12
6. Step 6: Final answer
   x = 7,831.81