Finding the Fourth Proportional to 1,856.78, 2,561.79 and 1,194.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.78 : 2,561.79 = 1,194.41 : x
2. Step 2: Convert to fraction form
   1,856.78/2,561.79 = 1,194.41/x
3. Step 3: Cross multiply
   1,856.78x = 2,561.79 × 1,194.41
4. Step 4: Simplify right side
   1,856.78x = 3,059,827.59
5. Step 5: Solve for x
   x = 3,059,827.59/1,856.78
6. Step 6: Final answer
   x = 1,647.92