Finding the Fourth Proportional to 2,577.06, 3,862.10 and 1,187.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.06 : 3,862.10 = 1,187.34 : x
2. Step 2: Convert to fraction form
   2,577.06/3,862.10 = 1,187.34/x
3. Step 3: Cross multiply
   2,577.06x = 3,862.10 × 1,187.34
4. Step 4: Simplify right side
   2,577.06x = 4,585,619.88
5. Step 5: Solve for x
   x = 4,585,619.88/2,577.06
6. Step 6: Final answer
   x = 1,779.40