Finding the Fourth Proportional to 2,577.50, 3,866.91 and 846.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.50 : 3,866.91 = 846.14 : x
2. Step 2: Convert to fraction form
   2,577.50/3,866.91 = 846.14/x
3. Step 3: Cross multiply
   2,577.50x = 3,866.91 × 846.14
4. Step 4: Simplify right side
   2,577.50x = 3,271,947.23
5. Step 5: Solve for x
   x = 3,271,947.23/2,577.50
6. Step 6: Final answer
   x = 1,269.43