Finding the Fourth Proportional to 5,180.38, 7,754.06 and 4,128.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,180.38 : 7,754.06 = 4,128.53 : x
2. Step 2: Convert to fraction form
   5,180.38/7,754.06 = 4,128.53/x
3. Step 3: Cross multiply
   5,180.38x = 7,754.06 × 4,128.53
4. Step 4: Simplify right side
   5,180.38x = 32,012,840.88
5. Step 5: Solve for x
   x = 32,012,840.88/5,180.38
6. Step 6: Final answer
   x = 6,179.63