Finding the Fourth Proportional to 9,978.81, 13,770.73 and 5,502.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.81 : 13,770.73 = 5,502.63 : x
2. Step 2: Convert to fraction form
   9,978.81/13,770.73 = 5,502.63/x
3. Step 3: Cross multiply
   9,978.81x = 13,770.73 × 5,502.63
4. Step 4: Simplify right side
   9,978.81x = 75,775,232.02
5. Step 5: Solve for x
   x = 75,775,232.02/9,978.81
6. Step 6: Final answer
   x = 7,593.61