Finding the Fourth Proportional to 9,978.28, 13,770.10 and 5,502.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.28 : 13,770.10 = 5,502.20 : x
2. Step 2: Convert to fraction form
   9,978.28/13,770.10 = 5,502.20/x
3. Step 3: Cross multiply
   9,978.28x = 13,770.10 × 5,502.20
4. Step 4: Simplify right side
   9,978.28x = 75,765,844.22
5. Step 5: Solve for x
   x = 75,765,844.22/9,978.28
6. Step 6: Final answer
   x = 7,593.08