Finding the Fourth Proportional to 9,978.42, 13,770.32 and 5,502.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.42 : 13,770.32 = 5,502.35 : x
2. Step 2: Convert to fraction form
   9,978.42/13,770.32 = 5,502.35/x
3. Step 3: Cross multiply
   9,978.42x = 13,770.32 × 5,502.35
4. Step 4: Simplify right side
   9,978.42x = 75,769,120.25
5. Step 5: Solve for x
   x = 75,769,120.25/9,978.42
6. Step 6: Final answer
   x = 7,593.30