Finding the Fourth Proportional to 5,631.75, 7,771.82 and 3,978.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,631.75 : 7,771.82 = 3,978.63 : x
2. Step 2: Convert to fraction form
   5,631.75/7,771.82 = 3,978.63/x
3. Step 3: Cross multiply
   5,631.75x = 7,771.82 × 3,978.63
4. Step 4: Simplify right side
   5,631.75x = 30,921,176.31
5. Step 5: Solve for x
   x = 30,921,176.31/5,631.75
6. Step 6: Final answer
   x = 5,490.51