Finding the Fourth Proportional to 9,978.55, 13,770.50 and 5,502.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.55 : 13,770.50 = 5,502.46 : x
2. Step 2: Convert to fraction form
   9,978.55/13,770.50 = 5,502.46/x
3. Step 3: Cross multiply
   9,978.55x = 13,770.50 × 5,502.46
4. Step 4: Simplify right side
   9,978.55x = 75,771,597.92
5. Step 5: Solve for x
   x = 75,771,597.92/9,978.55
6. Step 6: Final answer
   x = 7,593.45