Finding the Fourth Proportional to 8,978, 12,387.76 and 5,200.94

Step by Step Solution

1. Step 1: Write the proportion equation
   8,978 : 12,387.76 = 5,200.94 : x
2. Step 2: Convert to fraction form
   8,978/12,387.76 = 5,200.94/x
3. Step 3: Cross multiply
   8,978x = 12,387.76 × 5,200.94
4. Step 4: Simplify right side
   8,978x = 64,427,996.49
5. Step 5: Solve for x
   x = 64,427,996.49/8,978
6. Step 6: Final answer
   x = 7,176.21