Finding the Fourth Proportional to 9,978.22, 13,770.77 and 5,502.85

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.22 : 13,770.77 = 5,502.85 : x
2. Step 2: Convert to fraction form
   9,978.22/13,770.77 = 5,502.85/x
3. Step 3: Cross multiply
   9,978.22x = 13,770.77 × 5,502.85
4. Step 4: Simplify right side
   9,978.22x = 75,778,481.69
5. Step 5: Solve for x
   x = 75,778,481.69/9,978.22
6. Step 6: Final answer
   x = 7,594.39