Finding the Fourth Proportional to 3,114.30, 4,297.89 and 1,856.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,114.30 : 4,297.89 = 1,856.10 : x
2. Step 2: Convert to fraction form
   3,114.30/4,297.89 = 1,856.10/x
3. Step 3: Cross multiply
   3,114.30x = 4,297.89 × 1,856.10
4. Step 4: Simplify right side
   3,114.30x = 7,977,313.63
5. Step 5: Solve for x
   x = 7,977,313.63/3,114.30
6. Step 6: Final answer
   x = 2,561.51