Finding the Fourth Proportional to 6,142.16, 9,201.72 and 3,797.84

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.16 : 9,201.72 = 3,797.84 : x
2. Step 2: Convert to fraction form
   6,142.16/9,201.72 = 3,797.84/x
3. Step 3: Cross multiply
   6,142.16x = 9,201.72 × 3,797.84
4. Step 4: Simplify right side
   6,142.16x = 34,946,660.28
5. Step 5: Solve for x
   x = 34,946,660.28/6,142.16
6. Step 6: Final answer
   x = 5,689.64