Finding the Fourth Proportional to 2,577.06, 3,862.20 and 1,407.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.06 : 3,862.20 = 1,407.58 : x
2. Step 2: Convert to fraction form
   2,577.06/3,862.20 = 1,407.58/x
3. Step 3: Cross multiply
   2,577.06x = 3,862.20 × 1,407.58
4. Step 4: Simplify right side
   2,577.06x = 5,436,355.48
5. Step 5: Solve for x
   x = 5,436,355.48/2,577.06
6. Step 6: Final answer
   x = 2,109.52