Finding the Fourth Proportional to 9,978.89, 13,770.22 and 5,502.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.89 : 13,770.22 = 5,502.40 : x
2. Step 2: Convert to fraction form
   9,978.89/13,770.22 = 5,502.40/x
3. Step 3: Cross multiply
   9,978.89x = 13,770.22 × 5,502.40
4. Step 4: Simplify right side
   9,978.89x = 75,769,258.53
5. Step 5: Solve for x
   x = 75,769,258.53/9,978.89
6. Step 6: Final answer
   x = 7,592.95