Finding the Fourth Proportional to 5,648.12, 7,795.34 and 5,398.96

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648.12 : 7,795.34 = 5,398.96 : x
2. Step 2: Convert to fraction form
   5,648.12/7,795.34 = 5,398.96/x
3. Step 3: Cross multiply
   5,648.12x = 7,795.34 × 5,398.96
4. Step 4: Simplify right side
   5,648.12x = 42,086,728.85
5. Step 5: Solve for x
   x = 42,086,728.85/5,648.12
6. Step 6: Final answer
   x = 7,451.46