Finding the Fourth Proportional to 2,577.50, 3,862.80 and 1,342.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.50 : 3,862.80 = 1,342.31 : x
2. Step 2: Convert to fraction form
   2,577.50/3,862.80 = 1,342.31/x
3. Step 3: Cross multiply
   2,577.50x = 3,862.80 × 1,342.31
4. Step 4: Simplify right side
   2,577.50x = 5,185,084.73
5. Step 5: Solve for x
   x = 5,185,084.73/2,577.50
6. Step 6: Final answer
   x = 2,011.68