Finding the Fourth Proportional to 9,978.68, 13,770.49 and 5,502.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.68 : 13,770.49 = 5,502.62 : x
2. Step 2: Convert to fraction form
   9,978.68/13,770.49 = 5,502.62/x
3. Step 3: Cross multiply
   9,978.68x = 13,770.49 × 5,502.62
4. Step 4: Simplify right side
   9,978.68x = 75,773,691.07
5. Step 5: Solve for x
   x = 75,773,691.07/9,978.68
6. Step 6: Final answer
   x = 7,593.56