Finding the Fourth Proportional to 9,978.49, 13,770.37 and 5,502.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.49 : 13,770.37 = 5,502.16 : x
2. Step 2: Convert to fraction form
   9,978.49/13,770.37 = 5,502.16/x
3. Step 3: Cross multiply
   9,978.49x = 13,770.37 × 5,502.16
4. Step 4: Simplify right side
   9,978.49x = 75,766,803.09
5. Step 5: Solve for x
   x = 75,766,803.09/9,978.49
6. Step 6: Final answer
   x = 7,593.01