Finding the Fourth Proportional to 5,634.48, 7,777.43 and 3,956.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,634.48 : 7,777.43 = 3,956.30 : x
2. Step 2: Convert to fraction form
   5,634.48/7,777.43 = 3,956.30/x
3. Step 3: Cross multiply
   5,634.48x = 7,777.43 × 3,956.30
4. Step 4: Simplify right side
   5,634.48x = 30,769,787.64
5. Step 5: Solve for x
   x = 30,769,787.64/5,634.48
6. Step 6: Final answer
   x = 5,460.98