Finding the Fourth Proportional to 2,577.72, 3,866.82 and 846.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.72 : 3,866.82 = 846.52 : x
2. Step 2: Convert to fraction form
   2,577.72/3,866.82 = 846.52/x
3. Step 3: Cross multiply
   2,577.72x = 3,866.82 × 846.52
4. Step 4: Simplify right side
   2,577.72x = 3,273,340.47
5. Step 5: Solve for x
   x = 3,273,340.47/2,577.72
6. Step 6: Final answer
   x = 1,269.86