Finding the Fourth Proportional to 2,577.71, 3,866.84 and 846.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.71 : 3,866.84 = 846.34 : x
2. Step 2: Convert to fraction form
   2,577.71/3,866.84 = 846.34/x
3. Step 3: Cross multiply
   2,577.71x = 3,866.84 × 846.34
4. Step 4: Simplify right side
   2,577.71x = 3,272,661.37
5. Step 5: Solve for x
   x = 3,272,661.37/2,577.71
6. Step 6: Final answer
   x = 1,269.60