Finding the Fourth Proportional to 9,978.92, 13,770.59 and 5,502.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.92 : 13,770.59 = 5,502.75 : x
2. Step 2: Convert to fraction form
   9,978.92/13,770.59 = 5,502.75/x
3. Step 3: Cross multiply
   9,978.92x = 13,770.59 × 5,502.75
4. Step 4: Simplify right side
   9,978.92x = 75,776,086.61
5. Step 5: Solve for x
   x = 75,776,086.61/9,978.92
6. Step 6: Final answer
   x = 7,593.62