Finding the Fourth Proportional to 2,577.69, 3,866.40 and 846.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.69 : 3,866.40 = 846.18 : x
2. Step 2: Convert to fraction form
   2,577.69/3,866.40 = 846.18/x
3. Step 3: Cross multiply
   2,577.69x = 3,866.40 × 846.18
4. Step 4: Simplify right side
   2,577.69x = 3,271,670.35
5. Step 5: Solve for x
   x = 3,271,670.35/2,577.69
6. Step 6: Final answer
   x = 1,269.23