Finding the Fourth Proportional to 9,978.54, 13,770.14 and 5,502.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.54 : 13,770.14 = 5,502.23 : x
2. Step 2: Convert to fraction form
   9,978.54/13,770.14 = 5,502.23/x
3. Step 3: Cross multiply
   9,978.54x = 13,770.14 × 5,502.23
4. Step 4: Simplify right side
   9,978.54x = 75,766,381.05
5. Step 5: Solve for x
   x = 75,766,381.05/9,978.54
6. Step 6: Final answer
   x = 7,592.93