Finding the Fourth Proportional to 13,771.52, 20,653.60 and 5,978.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13,771.52 : 20,653.60 = 5,978.56 : x
2. Step 2: Convert to fraction form
   13,771.52/20,653.60 = 5,978.56/x
3. Step 3: Cross multiply
   13,771.52x = 20,653.60 × 5,978.56
4. Step 4: Simplify right side
   13,771.52x = 123,478,786.82
5. Step 5: Solve for x
   x = 123,478,786.82/13,771.52
6. Step 6: Final answer
   x = 8,966.24