Finding the Fourth Proportional to 2,074.88, 2,863.28 and 1,178.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.88 : 2,863.28 = 1,178.55 : x
2. Step 2: Convert to fraction form
   2,074.88/2,863.28 = 1,178.55/x
3. Step 3: Cross multiply
   2,074.88x = 2,863.28 × 1,178.55
4. Step 4: Simplify right side
   2,074.88x = 3,374,521.59
5. Step 5: Solve for x
   x = 3,374,521.59/2,074.88
6. Step 6: Final answer
   x = 1,626.37