Finding the Fourth Proportional to 2,638.56, 3,958.05 and 1,177.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.56 : 3,958.05 = 1,177.32 : x
2. Step 2: Convert to fraction form
   2,638.56/3,958.05 = 1,177.32/x
3. Step 3: Cross multiply
   2,638.56x = 3,958.05 × 1,177.32
4. Step 4: Simplify right side
   2,638.56x = 4,659,891.43
5. Step 5: Solve for x
   x = 4,659,891.43/2,638.56
6. Step 6: Final answer
   x = 1,766.07