Finding the Fourth Proportional to 2,277.14, 3,141.83 and 1,427.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,277.14 : 3,141.83 = 1,427.10 : x
2. Step 2: Convert to fraction form
   2,277.14/3,141.83 = 1,427.10/x
3. Step 3: Cross multiply
   2,277.14x = 3,141.83 × 1,427.10
4. Step 4: Simplify right side
   2,277.14x = 4,483,698.46
5. Step 5: Solve for x
   x = 4,483,698.46/2,277.14
6. Step 6: Final answer
   x = 1,969.01