Finding the Fourth Proportional to 9,219.74, 12,722.82 and 5,683.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,219.74 : 12,722.82 = 5,683.28 : x
2. Step 2: Convert to fraction form
   9,219.74/12,722.82 = 5,683.28/x
3. Step 3: Cross multiply
   9,219.74x = 12,722.82 × 5,683.28
4. Step 4: Simplify right side
   9,219.74x = 72,307,348.45
5. Step 5: Solve for x
   x = 72,307,348.45/9,219.74
6. Step 6: Final answer
   x = 7,842.67