Finding the Fourth Proportional to 9,978.41, 13,770.29 and 5,502.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.41 : 13,770.29 = 5,502.32 : x
2. Step 2: Convert to fraction form
   9,978.41/13,770.29 = 5,502.32/x
3. Step 3: Cross multiply
   9,978.41x = 13,770.29 × 5,502.32
4. Step 4: Simplify right side
   9,978.41x = 75,768,538.62
5. Step 5: Solve for x
   x = 75,768,538.62/9,978.41
6. Step 6: Final answer
   x = 7,593.25