Finding the Fourth Proportional to 1,856.94, 2,561.49 and 1,540.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.94 : 2,561.49 = 1,540.35 : x
2. Step 2: Convert to fraction form
   1,856.94/2,561.49 = 1,540.35/x
3. Step 3: Cross multiply
   1,856.94x = 2,561.49 × 1,540.35
4. Step 4: Simplify right side
   1,856.94x = 3,945,591.12
5. Step 5: Solve for x
   x = 3,945,591.12/1,856.94
6. Step 6: Final answer
   x = 2,124.78