Finding the Fourth Proportional to 9,978.90, 13,770.96 and 5,502.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.90 : 13,770.96 = 5,502.42 : x
2. Step 2: Convert to fraction form
   9,978.90/13,770.96 = 5,502.42/x
3. Step 3: Cross multiply
   9,978.90x = 13,770.96 × 5,502.42
4. Step 4: Simplify right side
   9,978.90x = 75,773,605.72
5. Step 5: Solve for x
   x = 75,773,605.72/9,978.90
6. Step 6: Final answer
   x = 7,593.38