Finding the Fourth Proportional to 1,856.89, 2,560.31 and 1,193.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.89 : 2,560.31 = 1,193.77 : x
2. Step 2: Convert to fraction form
   1,856.89/2,560.31 = 1,193.77/x
3. Step 3: Cross multiply
   1,856.89x = 2,560.31 × 1,193.77
4. Step 4: Simplify right side
   1,856.89x = 3,056,415.30
5. Step 5: Solve for x
   x = 3,056,415.30/1,856.89
6. Step 6: Final answer
   x = 1,645.99