Finding the Fourth Proportional to 9,978.94, 13,770.90 and 5,502.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.94 : 13,770.90 = 5,502.76 : x
2. Step 2: Convert to fraction form
   9,978.94/13,770.90 = 5,502.76/x
3. Step 3: Cross multiply
   9,978.94x = 13,770.90 × 5,502.76
4. Step 4: Simplify right side
   9,978.94x = 75,777,923.26
5. Step 5: Solve for x
   x = 75,777,923.26/9,978.94
6. Step 6: Final answer
   x = 7,593.79