Finding the Fourth Proportional to 5,648.22, 7,797.27 and 3,762.96

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648.22 : 7,797.27 = 3,762.96 : x
2. Step 2: Convert to fraction form
   5,648.22/7,797.27 = 3,762.96/x
3. Step 3: Cross multiply
   5,648.22x = 7,797.27 × 3,762.96
4. Step 4: Simplify right side
   5,648.22x = 29,340,815.12
5. Step 5: Solve for x
   x = 29,340,815.12/5,648.22
6. Step 6: Final answer
   x = 5,194.70