Finding the Fourth Proportional to 2,577.43, 3,866.42 and 846.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.43 : 3,866.42 = 846.19 : x
2. Step 2: Convert to fraction form
   2,577.43/3,866.42 = 846.19/x
3. Step 3: Cross multiply
   2,577.43x = 3,866.42 × 846.19
4. Step 4: Simplify right side
   2,577.43x = 3,271,725.94
5. Step 5: Solve for x
   x = 3,271,725.94/2,577.43
6. Step 6: Final answer
   x = 1,269.38