Finding the Fourth Proportional to 6,477.72, 8,938.20 and 3,644.52

Step by Step Solution

1. Step 1: Write the proportion equation
   6,477.72 : 8,938.20 = 3,644.52 : x
2. Step 2: Convert to fraction form
   6,477.72/8,938.20 = 3,644.52/x
3. Step 3: Cross multiply
   6,477.72x = 8,938.20 × 3,644.52
4. Step 4: Simplify right side
   6,477.72x = 32,575,448.66
5. Step 5: Solve for x
   x = 32,575,448.66/6,477.72
6. Step 6: Final answer
   x = 5,028.84