Finding the Fourth Proportional to 5,653.35, 7,797.74 and 3,978.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,653.35 : 7,797.74 = 3,978.27 : x
2. Step 2: Convert to fraction form
   5,653.35/7,797.74 = 3,978.27/x
3. Step 3: Cross multiply
   5,653.35x = 7,797.74 × 3,978.27
4. Step 4: Simplify right side
   5,653.35x = 31,021,495.22
5. Step 5: Solve for x
   x = 31,021,495.22/5,653.35
6. Step 6: Final answer
   x = 5,487.28