Finding the Fourth Proportional to 9,219.83, 12,722.93 and 5,640.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,219.83 : 12,722.93 = 5,640.74 : x
2. Step 2: Convert to fraction form
   9,219.83/12,722.93 = 5,640.74/x
3. Step 3: Cross multiply
   9,219.83x = 12,722.93 × 5,640.74
4. Step 4: Simplify right side
   9,219.83x = 71,766,648.35
5. Step 5: Solve for x
   x = 71,766,648.35/9,219.83
6. Step 6: Final answer
   x = 7,783.95