Finding the Fourth Proportional to 6,840.56, 10,258.14 and 3,142.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,840.56 : 10,258.14 = 3,142.10 : x
2. Step 2: Convert to fraction form
   6,840.56/10,258.14 = 3,142.10/x
3. Step 3: Cross multiply
   6,840.56x = 10,258.14 × 3,142.10
4. Step 4: Simplify right side
   6,840.56x = 32,232,101.69
5. Step 5: Solve for x
   x = 32,232,101.69/6,840.56
6. Step 6: Final answer
   x = 4,711.91