Finding the Fourth Proportional to 9,978.50, 13,770.42 and 5,502.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.50 : 13,770.42 = 5,502.41 : x
2. Step 2: Convert to fraction form
   9,978.50/13,770.42 = 5,502.41/x
3. Step 3: Cross multiply
   9,978.50x = 13,770.42 × 5,502.41
4. Step 4: Simplify right side
   9,978.50x = 75,770,531.14
5. Step 5: Solve for x
   x = 75,770,531.14/9,978.50
6. Step 6: Final answer
   x = 7,593.38