Finding the Fourth Proportional to 6,477.96, 9,709.74 and 3,549.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,477.96 : 9,709.74 = 3,549.72 : x
2. Step 2: Convert to fraction form
   6,477.96/9,709.74 = 3,549.72/x
3. Step 3: Cross multiply
   6,477.96x = 9,709.74 × 3,549.72
4. Step 4: Simplify right side
   6,477.96x = 34,466,858.27
5. Step 5: Solve for x
   x = 34,466,858.27/6,477.96
6. Step 6: Final answer
   x = 5,320.63