Finding the Fourth Proportional to 9,978.91, 13,770.67 and 5,502.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.91 : 13,770.67 = 5,502.58 : x
2. Step 2: Convert to fraction form
   9,978.91/13,770.67 = 5,502.58/x
3. Step 3: Cross multiply
   9,978.91x = 13,770.67 × 5,502.58
4. Step 4: Simplify right side
   9,978.91x = 75,774,213.33
5. Step 5: Solve for x
   x = 75,774,213.33/9,978.91
6. Step 6: Final answer
   x = 7,593.44